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22120064 = 27612833
BaseRepresentation
bin101010001100…
…0011010000000
31112121211000122
41110120122000
521130320224
62110035412
7356005661
oct124303200
945554018
1022120064
111153914a
1274a8b68
1347763c5
142d1b368
151e1e15e
hex1518680

22120064 has 32 divisors (see below), whose sum is σ = 44805540. Its totient is φ = 10874880.

The previous prime is 22120061. The next prime is 22120099. The reversal of 22120064 is 46002122.

It can be written as a sum of positive squares in 2 ways, for example, as 19430464 + 2689600 = 4408^2 + 1640^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120061) 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, 6392 + ... + 9224.

Almost surely, 222120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402770).

22120064 is an abundant number, since it is smaller than the sum of its proper divisors (22685476).

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

22120064 is an equidigital number, since it uses as much as digits as its factorization.

22120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 22120064 is about 4703.1972104091. The cubic root of 22120064 is about 280.7127419939.

Adding to 22120064 its reverse (46002122), we get a palindrome (68122186).

The spelling of 22120064 in words is "twenty-two million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 2833 3904 5666 7808 11332 22664 45328 90656 172813 181312 345626 362624 691252 1382504 2765008 5530016 11060032 22120064