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23263168 = 261033529
BaseRepresentation
bin101100010111…
…1011111000000
31121202220001211
41120233133000
521423410133
62150335504
7401506435
oct130573700
947686054
1023263168
1112149a65
12795a594
134a867b6
143137b8c
152097bcd
hex162f7c0

23263168 has 28 divisors (see below), whose sum is σ = 46624240. Its totient is φ = 11515392.

The previous prime is 23263159. The next prime is 23263183. The reversal of 23263168 is 86136232.

It is a super-3 number, since 3×232631683 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4828 + ... + 8356.

Almost surely, 223263168 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 23263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312120).

23263168 is an abundant number, since it is smaller than the sum of its proper divisors (23361072).

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

23263168 is a wasteful number, since it uses less digits than its factorization.

23263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3634 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 23263168 is about 4823.1906452057. The cubic root of 23263168 is about 285.4672462714.

The spelling of 23263168 in words is "twenty-three million, two hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 3529 6592 7058 14116 28232 56464 112928 225856 363487 726974 1453948 2907896 5815792 11631584 23263168