Search a number
-
+
33032132320 = 2551119987803
BaseRepresentation
bin11110110000110111…
…100101011011100000
310011021001210011222011
4132300313211123200
51020122211213240
623101425122304
72246365330525
oct366067453340
9104231704864
1033032132320
1113010860a10
12649a489394
13316561a035
14185501714c
15cd4e186ea
hex7b0de56e0

33032132320 has 96 divisors (see below), whose sum is σ = 89613578880. Its totient is φ = 11379479040.

The previous prime is 33032132317. The next prime is 33032132323. The reversal of 33032132320 is 2323123033.

It is an interprime number because it is at equal distance from previous prime (33032132317) and next prime (33032132323).

It is a super-2 number, since 2×330321323202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33032132291 and 33032132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33032132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460462 + ... + 527341.

It is an arithmetic number, because the mean of its divisors is an integer number (933474780).

Almost surely, 233032132320 is an apocalyptic number.

It is an amenable number.

33032132320 is an abundant number, since it is smaller than the sum of its proper divisors (56581446560).

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

33032132320 is a wasteful number, since it uses less digits than its factorization.

33032132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987848 (or 987840 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33032132320 its reverse (2323123033), we get a palindrome (35355255353).

The spelling of 33032132320 in words is "thirty-three billion, thirty-two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 987803 1975606 3951212 4939015 7902424 9878030 10865833 15804848 18768257 19756060 21731666 31609696 37536514 39512120 43463332 54329165 75073028 79024240 86926664 93841285 108658330 150146056 158048480 173853328 187682570 206450827 217316660 300292112 347706656 375365140 412901654 434633320 600584224 750730280 825803308 869266640 1032254135 1501460560 1651606616 1738533280 2064508270 3002921120 3303213232 4129016540 6606426464 8258033080 16516066160 33032132320