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22413216 = 253733353
BaseRepresentation
bin101010101111…
…1111110100000
31120011201011010
41111133332200
521214210331
62120220520
7361336440
oct125377640
946151133
1022413216
1111719421
12760a740
134849977
142d96120
151e7ae46
hex155ffa0

22413216 has 48 divisors (see below), whose sum is σ = 67241664. Its totient is φ = 6403584.

The previous prime is 22413187. The next prime is 22413221. The reversal of 22413216 is 61231422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22413192 and 22413201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16005 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (1400868).

Almost surely, 222413216 is an apocalyptic number.

It is an amenable number.

22413216 is an abundant number, since it is smaller than the sum of its proper divisors (44828448).

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

22413216 is a wasteful number, since it uses less digits than its factorization.

22413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33373 (or 33365 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22413216 is about 4734.2598154305. The cubic root of 22413216 is about 281.9473771332.

Adding to 22413216 its reverse (61231422), we get a palindrome (83644638).

The spelling of 22413216 in words is "twenty-two million, four hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 33353 66706 100059 133412 200118 233471 266824 400236 466942 533648 700413 800472 933884 1067296 1400826 1600944 1867768 2801652 3201888 3735536 5603304 7471072 11206608 22413216