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232221201440232 = 233312259491381397
BaseRepresentation
bin110100110011010000110110…
…001110001001110111101000
31010110020010111210201002221010
4310303100312032021313220
5220414203010032041412
62141520540332143520
766625266565520154
oct6463206616116750
91113203453632833
10232221201440232
1167aa1505245214
1222066036607ba0
139c76499836164
14414b7cd610064
151bca91675833c
hexd33436389de8

232221201440232 has 64 divisors (see below), whose sum is σ = 599283605952000. Its totient is φ = 74909679217920.

The previous prime is 232221201440231. The next prime is 232221201440257. The reversal of 232221201440232 is 232044102122232.

232221201440232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2322212014402322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232221201440232.

It is not an unprimeable number, because it can be changed into a prime (232221201440231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167415358 + ... + 168796754.

It is an arithmetic number, because the mean of its divisors is an integer number (9363806343000).

Almost surely, 2232221201440232 is an apocalyptic number.

It is an amenable number.

232221201440232 is an abundant number, since it is smaller than the sum of its proper divisors (367062404511768).

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

232221201440232 is a wasteful number, since it uses less digits than its factorization.

232221201440232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607386 (or 1607382 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 232221201440232 its reverse (232044102122232), we get a palindrome (464265303562464).

The spelling of 232221201440232 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, two hundred one million, four hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 225949 451898 677847 903796 1355694 1381397 1807592 2711388 2762794 4144191 5422776 5525588 7004419 8288382 11051176 14008838 16576764 21013257 28017676 33153528 42026514 42823307 56035352 84053028 85646614 128469921 168106056 171293228 256939842 342586456 513879684 1027759368 312125270753 624250541506 936375812259 1248501083012 1872751624518 2497002166024 3745503249036 7491006498072 9675883393343 19351766786686 29027650180029 38703533573372 58055300360058 77407067146744 116110600720116 232221201440232