Search a number
-
+
234400111232 = 2772311374229
BaseRepresentation
bin1101101001001101010…
…1011101101010000000
3211102000202011101202012
43122103111131222000
512320022412024412
6255403143512052
722635440033330
oct3322325355200
9742022141665
10234400111232
119045482a9a1
1239518158628
1319147185a91
14b4b8a730c0
15616d509c22
hex369355da80

234400111232 has 64 divisors (see below), whose sum is σ = 556882300800. Its totient is φ = 96089478144.

The previous prime is 234400111189. The next prime is 234400111247. The reversal of 234400111232 is 232111004432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 234400111198 and 234400111207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5666507 + ... + 5707722.

It is an arithmetic number, because the mean of its divisors is an integer number (8701285950).

Almost surely, 2234400111232 is an apocalyptic number.

It is an amenable number.

234400111232 is an abundant number, since it is smaller than the sum of its proper divisors (322482189568).

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

234400111232 is a wasteful number, since it uses less digits than its factorization.

234400111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374273 (or 11374261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 234400111232 its reverse (232111004432), we get a palindrome (466511115664).

The spelling of 234400111232 in words is "two hundred thirty-four billion, four hundred million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 11374229 22748458 45496916 79619603 90993832 159239206 181987664 261607267 318478412 363975328 523214534 636956824 727950656 1046429068 1273913648 1455901312 1831250869 2092858136 2547827296 3662501738 4185716272 5095654592 7325003476 8371432544 10191309184 14650006952 16742865088 29300013904 33485730176 58600027808 117200055616 234400111232