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23162868 = 2233415231
BaseRepresentation
bin101100001011…
…0111111110100
31121120210111000
41120112333310
521412202433
62144243300
7400611141
oct130267764
947523430
1023162868
1112090673
127910530
134a4cc51
14310d3c8
152078113
hex1616ff4

23162868 has 48 divisors (see below), whose sum is σ = 61528320. Its totient is φ = 7531200.

The previous prime is 23162861. The next prime is 23162899. The reversal of 23162868 is 86826132.

23162868 is a `hidden beast` number, since 23 + 1 + 628 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23162861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (1281840).

Almost surely, 223162868 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 23162868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30764160).

23162868 is an abundant number, since it is smaller than the sum of its proper divisors (38365452).

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

23162868 is a wasteful number, since it uses less digits than its factorization.

23162868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5277 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23162868 is about 4812.7817320132. The cubic root of 23162868 is about 285.0563877348.

It can be divided in two parts, 2316 and 2868, that added together give a square (5184 = 722).

The spelling of 23162868 in words is "twenty-three million, one hundred sixty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 5231 10462 15693 20924 31386 47079 62772 94158 141237 188316 214471 282474 428942 564948 643413 857884 1286826 1930239 2573652 3860478 5790717 7720956 11581434 23162868