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23001768 = 2332319469
BaseRepresentation
bin101011110111…
…1101010101000
31121021121111100
41113233222220
521342024033
62141001400
7366340356
oct127575250
947247440
1023001768
1111a90629
127853260
1349c481a
1430aa7d6
152045513
hex15efaa8

23001768 has 24 divisors (see below), whose sum is σ = 62296650. Its totient is φ = 7667232.

The previous prime is 23001767. The next prime is 23001773. The reversal of 23001768 is 86710032.

It can be written as a sum of positive squares in only one way, i.e., 13527684 + 9474084 = 3678^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×230017682 = 1058162662251648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23001767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159663 + ... + 159806.

Almost surely, 223001768 is an apocalyptic number.

It is an amenable number.

23001768 is an abundant number, since it is smaller than the sum of its proper divisors (39294882).

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

23001768 is a wasteful number, since it uses less digits than its factorization.

23001768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319481 (or 319474 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 23001768 is about 4796.0158465126. The cubic root of 23001768 is about 284.3939846924.

The spelling of 23001768 in words is "twenty-three million, one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 319469 638938 958407 1277876 1916814 2555752 2875221 3833628 5750442 7667256 11500884 23001768