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22152064 = 271115733
BaseRepresentation
bin101010010000…
…0001110000000
31112200102220211
41110200032000
521132331224
62110443504
7356201164
oct124401600
945612824
1022152064
11115601a0
127503594
134787b3c
142d28ca4
151e28894
hex1520380

22152064 has 32 divisors (see below), whose sum is σ = 48146040. Its totient is φ = 10068480.

The previous prime is 22152061. The next prime is 22152101. The reversal of 22152064 is 46025122.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22152061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6459 + ... + 9274.

Almost surely, 222152064 is an apocalyptic number.

It is an amenable number.

22152064 is an abundant number, since it is smaller than the sum of its proper divisors (25993976).

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

22152064 is a wasteful number, since it uses less digits than its factorization.

22152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15758 (or 15746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22152064 is about 4706.5979220664. The cubic root of 22152064 is about 280.8480411739.

Adding to 22152064 its reverse (46025122), we get a palindrome (68177186).

The spelling of 22152064 in words is "twenty-two million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 15733 31466 62932 125864 173063 251728 346126 503456 692252 1006912 1384504 2013824 2769008 5538016 11076032 22152064