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23338112 = 2772612
BaseRepresentation
bin101100100000…
…1110010000000
31121220200212112
41121001302000
521433304422
62152114452
7402241100
oct131016200
947820775
1023338112
11121a02a6
127995a28
134ab1945
143157200
1520aeee2
hex1641c80

23338112 has 72 divisors (see below), whose sum is σ = 54985905. Its totient is φ = 9838080.

The previous prime is 23338079. The next prime is 23338129. The reversal of 23338112 is 21183332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 7529536 = 3976^2 + 2744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3416.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 382562 + ... + 382622.

Almost surely, 223338112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23338112

23338112 is an abundant number, since it is smaller than the sum of its proper divisors (31647793).

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

23338112 is an frugal number, since it uses more digits than its factorization.

23338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 70 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 23338112 is about 4830.9535290665. The cubic root of 23338112 is about 285.7734688827.

The spelling of 23338112 in words is "twenty-three million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 392 427 448 488 784 854 896 976 1568 1708 1952 2989 3136 3416 3721 3904 5978 6272 6832 7442 7808 11956 13664 14884 23912 26047 27328 29768 47824 52094 54656 59536 95648 104188 119072 182329 191296 208376 238144 364658 382592 416752 476288 729316 833504 1458632 1667008 2917264 3334016 5834528 11669056 23338112