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232132221024 = 25311219822179
BaseRepresentation
bin1101100000110000101…
…0001001100001100000
3211012011200201122020120
43120030022021201200
512300401322033044
6254350131040240
722525311215454
oct3301412114140
9735150648216
10232132221024
118a4a0650470
1238ba4740080
1318b75374002
14b3417a2664
15608937c519
hex360c289860

232132221024 has 48 divisors (see below), whose sum is σ = 664742272320. Its totient is φ = 70343096960.

The previous prime is 232132220989. The next prime is 232132221037. The reversal of 232132221024 is 420122231232.

232132221024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 232132220985 and 232132221003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109910034 + ... + 109912145.

It is an arithmetic number, because the mean of its divisors is an integer number (13848797340).

Almost surely, 2232132221024 is an apocalyptic number.

232132221024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232132221024 is an abundant number, since it is smaller than the sum of its proper divisors (432610051296).

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

232132221024 is a wasteful number, since it uses less digits than its factorization.

232132221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219822203 (or 219822195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232132221024 its reverse (420122231232), we get a palindrome (652254452256).

The spelling of 232132221024 in words is "two hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 219822179 439644358 659466537 879288716 1318933074 1758577432 2418043969 2637866148 3517154864 4836087938 5275732296 7034309728 7254131907 9672175876 10551464592 14508263814 19344351752 21102929184 29016527628 38688703504 58033055256 77377407008 116066110512 232132221024