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22745216 = 271313669
BaseRepresentation
bin101011011000…
…1000010000000
31120210120120102
41112301002000
521310321331
62131301532
7364221404
oct126610200
946716512
1022745216
11119258aa
12774a8a8
134934b10
143041104
151ee44cb
hex15b1080

22745216 has 32 divisors (see below), whose sum is σ = 48801900. Its totient is φ = 10497024.

The previous prime is 22745213. The next prime is 22745257. The reversal of 22745216 is 61254722.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22657600 + 87616 = 4760^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (22745213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5171 + ... + 8498.

Almost surely, 222745216 is an apocalyptic number.

22745216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22745216 is an abundant number, since it is smaller than the sum of its proper divisors (26056684).

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

22745216 is a wasteful number, since it uses less digits than its factorization.

22745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13696 (or 13684 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 22745216 is about 4769.1944812515. The cubic root of 22745216 is about 283.3326923476.

Adding to 22745216 its reverse (61254722), we get a palindrome (83999938).

The spelling of 22745216 in words is "twenty-two million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 13669 27338 54676 109352 177697 218704 355394 437408 710788 874816 1421576 1749632 2843152 5686304 11372608 22745216