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22868032 = 261122953
BaseRepresentation
bin101011100111…
…1000001000000
31121000211001011
41113033001000
521323234112
62134050304
7365242435
oct127170100
947024034
1022868032
11119aa100
1277a9994
1349789a5
143073b8c
15201aaa7
hex15cf040

22868032 has 42 divisors (see below), whose sum is σ = 49896014. Its totient is φ = 10391040.

The previous prime is 22868017. The next prime is 22868047. The reversal of 22868032 is 23086822.

It is an interprime number because it is at equal distance from previous prime (22868017) and next prime (22868047).

It can be written as a sum of positive squares in only one way, i.e., 21752896 + 1115136 = 4664^2 + 1056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22867985 and 22868003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6268 + ... + 9220.

Almost surely, 222868032 is an apocalyptic number.

22868032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948007).

22868032 is an abundant number, since it is smaller than the sum of its proper divisors (27027982).

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

22868032 is a wasteful number, since it uses less digits than its factorization.

22868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 22868032 is about 4782.0531155561. The cubic root of 22868032 is about 283.8417421525.

The spelling of 22868032 in words is "twenty-two million, eight hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 2953 3872 5906 7744 11812 23624 32483 47248 64966 94496 129932 188992 259864 357313 519728 714626 1039456 1429252 2078912 2858504 5717008 11434016 22868032