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23057088 = 2632941101
BaseRepresentation
bin101011111110…
…1001011000000
31121101102101020
41113331023000
521400311323
62142105440
7366660555
oct127751300
947342336
1023057088
111201914a
12787b280
134a13a62
1430c2a2c
152056ae3
hex15fd2c0

23057088 has 112 divisors (see below), whose sum is σ = 65288160. Its totient is φ = 7168000.

The previous prime is 23057081. The next prime is 23057101. The reversal of 23057088 is 88075032.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23057081) 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 15 ways as a sum of consecutive naturals, for example, 228238 + ... + 228338.

It is an arithmetic number, because the mean of its divisors is an integer number (582930).

Almost surely, 223057088 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 23057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644080).

23057088 is an abundant number, since it is smaller than the sum of its proper divisors (42231072).

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

23057088 is a wasteful number, since it uses less digits than its factorization.

23057088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 23057088 is about 4801.7796700807. The cubic root of 23057088 is about 284.6217944203.

The spelling of 23057088 in words is "twenty-three million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 101 116 123 164 174 192 202 232 246 303 328 348 404 464 492 606 656 696 808 928 984 1189 1212 1312 1392 1616 1856 1968 2378 2424 2624 2784 2929 3232 3567 3936 4141 4756 4848 5568 5858 6464 7134 7872 8282 8787 9512 9696 11716 12423 14268 16564 17574 19024 19392 23432 24846 28536 33128 35148 38048 46864 49692 57072 66256 70296 76096 93728 99384 114144 120089 132512 140592 187456 198768 228288 240178 265024 281184 360267 397536 480356 562368 720534 795072 960712 1441068 1921424 2882136 3842848 5764272 7685696 11528544 23057088