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23141628 = 2232792103
BaseRepresentation
bin101100001000…
…1110011111100
31121112201100100
41120101303330
521411013003
62144001100
7400462206
oct130216374
947481310
1023141628
1112076714
127900190
134a43393
143105776
152071ba3
hex1611cfc

23141628 has 54 divisors (see below), whose sum is σ = 59821944. Its totient is φ = 7542288.

The previous prime is 23141627. The next prime is 23141663. The reversal of 23141628 is 82614132.

23141628 is a `hidden beast` number, since 2 + 31 + 4 + 1 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141627) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 224625 + ... + 224727.

Almost surely, 223141628 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 23141628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29910972).

23141628 is an abundant number, since it is smaller than the sum of its proper divisors (36680316).

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

23141628 is a wasteful number, since it uses less digits than its factorization.

23141628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 187 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23141628 is about 4810.5746018537. The cubic root of 23141628 is about 284.9692302884.

The spelling of 23141628 in words is "twenty-three million, one hundred forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 103 158 206 237 309 316 412 474 618 711 927 948 1236 1422 1854 2844 3708 6241 8137 12482 16274 18723 24411 24964 32548 37446 48822 56169 73233 74892 97644 112338 146466 224676 292932 642823 1285646 1928469 2571292 3856938 5785407 7713876 11570814 23141628