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23035264 = 27747547
BaseRepresentation
bin101011111011…
…1110110000000
31121100022102221
41113313312000
521344112024
62141420424
7366540130
oct127676600
947308387
1023035264
111200380a
12786a714
134a06b45
1430b8ac0
1520503e4
hex15f7d80

23035264 has 64 divisors (see below), whose sum is σ = 53660160. Its totient is φ = 9644544.

The previous prime is 23035261. The next prime is 23035267. The reversal of 23035264 is 46253032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23035261) and next prime (23035267).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23035261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41839 + ... + 42385.

It is an arithmetic number, because the mean of its divisors is an integer number (838440).

Almost surely, 223035264 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 23035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830080).

23035264 is an abundant number, since it is smaller than the sum of its proper divisors (30624896).

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

23035264 is an equidigital number, since it uses as much as digits as its factorization.

23035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 23035264 is about 4799.5066413122. The cubic root of 23035264 is about 284.5319659784.

Adding to 23035264 its reverse (46253032), we get a palindrome (69288296).

The spelling of 23035264 in words is "twenty-three million, thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 547 658 752 896 1094 1316 1504 2188 2632 3008 3829 4376 5264 6016 7658 8752 10528 15316 17504 21056 25709 30632 35008 42112 51418 61264 70016 102836 122528 179963 205672 245056 359926 411344 490112 719852 822688 1439704 1645376 2879408 3290752 5758816 11517632 23035264