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22013992 = 23711132749
BaseRepresentation
bin101001111111…
…0100000101000
31112102102112001
41103332200220
521113421432
62103500344
7355054510
oct123764050
945372461
1022013992
1111476490
1274576b4
13473a040
142cd0840
151dec9e7
hex14fe828

22013992 has 64 divisors (see below), whose sum is σ = 55440000. Its totient is φ = 7914240.

The previous prime is 22013983. The next prime is 22013993. The reversal of 22013992 is 29931022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22013992.

It is not an unprimeable number, because it can be changed into a prime (22013993) 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, 6634 + ... + 9382.

It is an arithmetic number, because the mean of its divisors is an integer number (866250).

Almost surely, 222013992 is an apocalyptic number.

22013992 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 22013992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720000).

22013992 is an abundant number, since it is smaller than the sum of its proper divisors (33426008).

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

22013992 is a wasteful number, since it uses less digits than its factorization.

22013992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 22013992 is about 4691.9070749536. The cubic root of 22013992 is about 280.2633237103.

It can be divided in two parts, 22013 and 992, that added together give a triangular number (23005 = T214).

The spelling of 22013992 in words is "twenty-two million, thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2749 4004 5498 8008 10996 19243 21992 30239 35737 38486 60478 71474 76972 120956 142948 153944 211673 241912 250159 285896 393107 423346 500318 786214 846692 1000636 1572428 1693384 2001272 2751749 3144856 5503498 11006996 22013992