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22924944 = 243472192
BaseRepresentation
bin101011101110…
…0111010010000
31121010201010000
41113130322100
521332044234
62135210000
7365600400
oct127347220
947121100
1022924944
1111a38939
127816900
134998873
14308a800
15202c899
hex15dce90

22924944 has 225 divisors, whose sum is σ = 81460467. Its totient is φ = 6205248.

The previous prime is 22924927. The next prime is 22924949. The reversal of 22924944 is 44942922.

The square root of 22924944 is 4788.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 22924899 and 22924908.

It is not an unprimeable number, because it can be changed into a prime (22924949) 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 44 ways as a sum of consecutive naturals, for example, 1206567 + ... + 1206585.

Almost surely, 222924944 is an apocalyptic number.

22924944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22924944 is the 4788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22924944

22924944 is an abundant number, since it is smaller than the sum of its proper divisors (58535523).

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

22924944 is a wasteful number, since it uses less digits than its factorization.

22924944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 22924944 is about 284.0770140935.

Multiplying 22924944 by its sum of digits (36), we get a square (825297984 = 287282).

22924944 divided by its sum of digits (36) gives a square (636804 = 7982).

The spelling of 22924944 in words is "twenty-two million, nine hundred twenty-four thousand, nine hundred forty-four".