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22165264 = 241121072
BaseRepresentation
bin101010010001…
…1011100010000
31112201010000201
41110203130100
521133242024
62111024544
7356254522
oct124433420
945633021
1022165264
111156a100
12750b154
134790b54
142d2da12
151e2c744
hex1523710

22165264 has 45 divisors (see below), whose sum is σ = 47649511. Its totient is φ = 9980960.

The previous prime is 22165249. The next prime is 22165271. The reversal of 22165264 is 46256122.

The square root of 22165264 is 4708.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 207099 + ... + 207205.

Almost surely, 222165264 is an apocalyptic number.

22165264 is the 4708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22165264

22165264 is an abundant number, since it is smaller than the sum of its proper divisors (25484247).

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

22165264 is a wasteful number, since it uses less digits than its factorization.

22165264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 120 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 22165264 is about 280.9038141263.

The spelling of 22165264 in words is "twenty-two million, one hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 121 176 214 242 428 484 856 968 1177 1712 1936 2354 4708 9416 11449 12947 18832 22898 25894 45796 51788 91592 103576 125939 183184 207152 251878 503756 1007512 1385329 2015024 2770658 5541316 11082632 22165264