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22828360 = 2351972897
BaseRepresentation
bin101011100010…
…1010101001000
31120221210121211
41113011111020
521321001420
62133142504
7365015662
oct127052510
946853554
1022828360
1111982315
12778aa34
134963909
143063532
15200de5a
hex15c5548

22828360 has 32 divisors (see below), whose sum is σ = 51642360. Its totient is φ = 9081856.

The previous prime is 22828357. The next prime is 22828363. The reversal of 22828360 is 6382822.

It is an interprime number because it is at equal distance from previous prime (22828357) and next prime (22828363).

It can be written as a sum of positive squares in 4 ways, for example, as 19945156 + 2883204 = 4466^2 + 1698^2 .

It is a super-2 number, since 2×228283602 = 1042268040579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22828363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6432 + ... + 9328.

Almost surely, 222828360 is an apocalyptic number.

22828360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22828360 is an abundant number, since it is smaller than the sum of its proper divisors (28814000).

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

22828360 is a wasteful number, since it uses less digits than its factorization.

22828360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

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

The square root of 22828360 is about 4777.9033058445. The cubic root of 22828360 is about 283.6775086995.

The spelling of 22828360 in words is "twenty-two million, eight hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 2897 3940 5794 7880 11588 14485 23176 28970 57940 115880 570709 1141418 2282836 2853545 4565672 5707090 11414180 22828360