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231211104 = 25367103349
BaseRepresentation
bin11011100100000…
…00000001100000
3121010001202000020
431302000001200
5433142223404
634535353440
75505155565
oct1562000140
9533052006
10231211104
11109570363
1265522880
1338b94607
14229c886c
1515471ed9
hexdc80060

231211104 has 96 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 74967552.

The previous prime is 231211103. The next prime is 231211109. The reversal of 231211104 is 401112132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2312111042 = 106917149225797632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231211103) 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, 662322 + ... + 662670.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2231211104 is an apocalyptic number.

231211104 is a gapful number since it is divisible by the number (24) 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 231211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

231211104 is an abundant number, since it is smaller than the sum of its proper divisors (392539296).

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

231211104 is a wasteful number, since it uses less digits than its factorization.

231211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 231211104 is about 15205.6273793619. The cubic root of 231211104 is about 613.7660976389.

Adding to 231211104 its reverse (401112132), we get a palindrome (632323236).

The spelling of 231211104 in words is "two hundred thirty-one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 103 134 201 206 268 309 349 402 412 536 618 698 804 824 1047 1072 1236 1396 1608 1648 2094 2144 2472 2792 3216 3296 4188 4944 5584 6432 6901 8376 9888 11168 13802 16752 20703 23383 27604 33504 35947 41406 46766 55208 70149 71894 82812 93532 107841 110416 140298 143788 165624 187064 215682 220832 280596 287576 331248 374128 431364 561192 575152 662496 748256 862728 1122384 1150304 1725456 2244768 2408449 3450912 4816898 7225347 9633796 14450694 19267592 28901388 38535184 57802776 77070368 115605552 231211104