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232243342232 = 2311101167156467
BaseRepresentation
bin1101100001001011001…
…0000010101110011000
3211012110102211011212212
43120102302002232120
512301113243422412
6254405140454252
722531130560136
oct3302262025630
9735412734785
10232243342232
118a548348480
12390159aa388
1318b923ac7c5
14b35244a756
156093ecc222
hex3612c82b98

232243342232 has 64 divisors (see below), whose sum is σ = 482622416640. Its totient is φ = 103893424000.

The previous prime is 232243342183. The next prime is 232243342273.

232243342232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2322433422322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1406063 + ... + 1562529.

It is an arithmetic number, because the mean of its divisors is an integer number (7540975260).

Almost surely, 2232243342232 is an apocalyptic number.

232243342232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232243342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241311208320).

232243342232 is an abundant number, since it is smaller than the sum of its proper divisors (250379074408).

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

232243342232 is a wasteful number, since it uses less digits than its factorization.

232243342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156752 (or 156748 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

It can be divided in two parts, 232243 and 342232, that added together give a palindrome (574475).

The spelling of 232243342232 in words is "two hundred thirty-two billion, two hundred forty-three million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 167 202 334 404 668 808 1111 1336 1837 2222 3674 4444 7348 8888 14696 16867 33734 67468 134936 156467 185537 312934 371074 625868 742148 1251736 1484296 1721137 3442274 6884548 13769096 15803167 26129989 31606334 52259978 63212668 104519956 126425336 173834837 209039912 287429879 347669674 574859758 695339348 1149719516 1390678696 2299439032 2639128889 5278257778 10556515556 21113031112 29030417779 58060835558 116121671116 232243342232