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332033000020232 = 237234159310602953
BaseRepresentation
bin100101101111110110111010…
…1000001010001100100001000
31121112122001012122211220202212
41023133231311001101210020
5322010012041001121412
63134101504321244252
7126636410161212020
oct11337556501214410
91545561178756685
10332033000020232
119688344a479a55
12312a6277a93688
1311336767b61004
145bdc6a92caa80
15285be187d9222
hex12dfb75051908

332033000020232 has 128 divisors (see below), whose sum is σ = 761824789608960. Its totient is φ = 132569132974080.

The previous prime is 332033000020231. The next prime is 332033000020237. The reversal of 332033000020232 is 232020000330233.

It is a super-2 number, since 2×3320330000202322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 332033000020198 and 332033000020207.

It is not an unprimeable number, because it can be changed into a prime (332033000020231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26013668 + ... + 36616620.

It is an arithmetic number, because the mean of its divisors is an integer number (5951756168820).

Almost surely, 2332033000020232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332033000020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380912394804480).

332033000020232 is an abundant number, since it is smaller than the sum of its proper divisors (429791789588728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332033000020232 is a wasteful number, since it uses less digits than its factorization.

332033000020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603623 (or 10603619 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 332033000020232 its reverse (232020000330233), we get a palindrome (564053000350465).

The spelling of 332033000020232 in words is "three hundred thirty-two trillion, thirty-three billion, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 593 644 943 1148 1186 1288 1886 2296 2372 3772 4151 4744 6601 7544 8302 13202 13639 16604 24313 26404 27278 33208 48626 52808 54556 95473 97252 109112 170191 190946 194504 340382 381892 559199 680764 763784 1118398 1361528 2236796 3914393 4473592 7828786 10602953 15657572 21205906 31315144 42411812 74220671 84823624 148441342 243867919 296882684 434721073 487735838 593765368 869442146 975471676 1707075433 1738884292 1950943352 3043047511 3414150866 3477768584 6086095022 6287551129 6828301732 9998584679 12172190044 12575102258 13656603464 19997169358 24344380088 25150204516 39994338716 44012857903 50300409032 69990092753 79988677432 88025715806 139980185506 144613675967 176051431612 257789596289 279960371012 289227351934 352102863224 515579192578 559920742024 578454703868 1012295731769 1031158385156 1156909407736 1804527174023 2024591463538 2062316770312 3609054348046 4049182927076 5929160714647 7218108696092 8098365854152 11858321429294 14436217392184 23716642858588 41504125002529 47433285717176 83008250005058 166016500010116 332033000020232