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22815216 = 243352813
BaseRepresentation
bin101011100001…
…0000111110000
31120221010121000
41113002013300
521320041331
62133002000
7364632444
oct127020760
946833530
1022815216
1111973456
127783300
13495a938
14305c824
15200a0e6
hex15c21f0

22815216 has 40 divisors (see below), whose sum is σ = 65489360. Its totient is φ = 7604928.

The previous prime is 22815209. The next prime is 22815217. The reversal of 22815216 is 61251822.

It is a happy number.

It is a super-2 number, since 2×228152162 = 1041068162253312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22815216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22815217) 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, 25975 + ... + 26838.

It is an arithmetic number, because the mean of its divisors is an integer number (1637234).

Almost surely, 222815216 is an apocalyptic number.

It is an amenable number.

22815216 is an abundant number, since it is smaller than the sum of its proper divisors (42674144).

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

22815216 is a wasteful number, since it uses less digits than its factorization.

22815216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52830 (or 52818 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 22815216 is about 4776.5276090482. The cubic root of 22815216 is about 283.6230534367.

The spelling of 22815216 in words is "twenty-two million, eight hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 52813 105626 158439 211252 316878 422504 475317 633756 845008 950634 1267512 1425951 1901268 2535024 2851902 3802536 5703804 7605072 11407608 22815216