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23285288 = 23131811237
BaseRepresentation
bin101100011010…
…0111000101000
31121211000102002
41120310320220
521430112123
62151030132
7401631065
oct130647050
947730362
1023285288
1112164644
12796b348
134a938a0
143141c6c
15209e528
hex1634e28

23285288 has 32 divisors (see below), whose sum is σ = 47316360. Its totient is φ = 10679040.

The previous prime is 23285287. The next prime is 23285293. The reversal of 23285288 is 88258232.

It can be written as a sum of positive squares in 4 ways, for example, as 11437924 + 11847364 = 3382^2 + 3442^2 .

It is not an unprimeable number, because it can be changed into a prime (23285287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18206 + ... + 19442.

Almost surely, 223285288 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 23285288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658180).

23285288 is an abundant number, since it is smaller than the sum of its proper divisors (24031072).

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

23285288 is a wasteful number, since it uses less digits than its factorization.

23285288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 23285288 is about 4825.4831882414. The cubic root of 23285288 is about 285.5576973388.

The spelling of 23285288 in words is "twenty-three million, two hundred eighty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1237 1448 2353 2474 4706 4948 9412 9896 16081 18824 32162 64324 128648 223897 447794 895588 1791176 2910661 5821322 11642644 23285288