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22304480 = 25511192329
BaseRepresentation
bin101010100010…
…1011011100000
31112222011222212
41111011123200
521202220410
62114021252
7360404432
oct125053340
945864885
1022304480
1111654760
127577828
13480c323
142d68652
151e58b05
hex15456e0

22304480 has 192 divisors, whose sum is σ = 65318400. Its totient is φ = 7096320.

The previous prime is 22304479. The next prime is 22304483. The reversal of 22304480 is 8440322.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22304483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769106 + ... + 769134.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 222304480 is an apocalyptic number.

22304480 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 22304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

22304480 is an abundant number, since it is smaller than the sum of its proper divisors (43013920).

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

22304480 is a wasteful number, since it uses less digits than its factorization.

22304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 22304480 is about 4722.7619038016. The cubic root of 22304480 is about 281.4906891075.

The spelling of 22304480 in words is "twenty-two million, three hundred four thousand, four hundred eighty".