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2232223332032 = 261917919153693
BaseRepresentation
bin100000011110111010111…
…000001111011011000000
321220101202111000102000102
4200132322320033123000
5243033043133111112
64425245204541532
7320162401154351
oct40367270173300
97811674012012
102232223332032
11790753971301
123007530b18a8
13132661758c05
147a07c3abd28
153d0ea355bc2
hex207bae0f6c0

2232223332032 has 112 divisors (see below), whose sum is σ = 4713388185600. Its totient is φ = 1045937341440.

The previous prime is 2232223332019. The next prime is 2232223332061. The reversal of 2232223332032 is 2302333222322.

It is a super-3 number, since 3×22322233320323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232223331986 and 2232223332004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41546978 + ... + 41600670.

Almost surely, 22232223332032 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 2232223332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356694092800).

2232223332032 is an abundant number, since it is smaller than the sum of its proper divisors (2481164853568).

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

2232223332032 is a wasteful number, since it uses less digits than its factorization.

2232223332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54094 (or 54084 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 2232223332032 its reverse (2302333222322), we get a palindrome (4534556554354).

The spelling of 2232223332032 in words is "two trillion, two hundred thirty-two billion, two hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 179 191 304 358 382 608 716 764 1216 1432 1528 2864 3056 3401 3629 5728 6112 6802 7258 11456 12224 13604 14516 27208 29032 34189 53693 54416 58064 68378 107386 108832 116128 136756 214772 217664 232256 273512 429544 547024 649591 859088 1020167 1094048 1299182 1718176 2040334 2188096 2598364 3436352 4080668 5196728 8161336 9611047 10255363 10393456 16322672 19222094 20510726 20786912 32645344 38444188 41021452 41573824 65290688 76888376 82042904 153776752 164085808 182609893 194851897 307553504 328171616 365219786 389703794 615107008 656343232 730439572 779407588 1460879144 1558815176 1835709977 2921758288 3117630352 3671419954 5843516576 6235260704 7342839908 11687033152 12470521408 14685679816 29371359632 34878489563 58742719264 69756979126 117485438528 139513958252 279027916504 558055833008 1116111666016 2232223332032