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23238657 = 341329761
BaseRepresentation
bin101100010100…
…1100000000001
31121201122110000
41120221200001
521422114112
62150030213
7401345121
oct130514001
947648400
1023238657
1112132602
127948369
134a785b0
14312cc81
1520907dc
hex1629801

23238657 has 40 divisors (see below), whose sum is σ = 38724840. Its totient is φ = 13789440.

The previous prime is 23238647. The next prime is 23238667. The reversal of 23238657 is 75683232.

It is an interprime number because it is at equal distance from previous prime (23238647) and next prime (23238667).

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 22667121 = 756^2 + 4761^2 .

It is not a de Polignac number, because 23238657 - 28 = 23238401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23238617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30157 + ... + 30917.

It is an arithmetic number, because the mean of its divisors is an integer number (968121).

Almost surely, 223238657 is an apocalyptic number.

23238657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23238657 is a deficient number, since it is larger than the sum of its proper divisors (15486183).

23238657 is a wasteful number, since it uses less digits than its factorization.

23238657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23238657 is about 4820.6490226939. The cubic root of 23238657 is about 285.3669511528.

The spelling of 23238657 in words is "twenty-three million, two hundred thirty-eight thousand, six hundred fifty-seven".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 761 783 1053 1131 2283 2349 3393 6849 9893 10179 20547 22069 29679 30537 61641 66207 89037 198621 267111 286897 595863 801333 860691 1787589 2582073 7746219 23238657