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22472640 = 26355172
BaseRepresentation
bin101010110111…
…0011111000000
31120021201200000
41111232133000
521223111030
62121400000
7362004621
oct125563700
946251600
1022472640
111175a033
127639000
13486aa28
142dada48
151e8d860
hex156e7c0

22472640 has 252 divisors, whose sum is σ = 85151976. Its totient is φ = 5640192.

The previous prime is 22472629. The next prime is 22472641. The reversal of 22472640 is 4627422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22472641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1321912 + ... + 1321928.

Almost surely, 222472640 is an apocalyptic number.

22472640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42575988).

22472640 is an abundant number, since it is smaller than the sum of its proper divisors (62679336).

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

22472640 is an equidigital number, since it uses as much as digits as its factorization.

22472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22472640 is about 4740.5316157579. The cubic root of 22472640 is about 282.1963322696.

The spelling of 22472640 in words is "twenty-two million, four hundred seventy-two thousand, six hundred forty".