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22724308992 = 212372114773
BaseRepresentation
bin10101001010011110…
…010111000000000000
32011122200210111121210
4111022132113000000
5333014410341432
614234524450120
71433062303500
oct251236270000
964580714553
1022724308992
119701309760
1244a23a9940
1321b1c22ba8
141158045a00
158d00038cc
hex54a797000

22724308992 has 624 divisors, whose sum is σ = 79602365952. Its totient is φ = 5697699840.

The previous prime is 22724308973. The next prime is 22724309033. The reversal of 22724308992 is 29980342722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 311291868 + ... + 311291940.

Almost surely, 222724308992 is an apocalyptic number.

22724308992 is a gapful number since it is divisible by the number (22) 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 22724308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801182976).

22724308992 is an abundant number, since it is smaller than the sum of its proper divisors (56878056960).

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

22724308992 is a wasteful number, since it uses less digits than its factorization.

22724308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 22724308992 in words is "twenty-two billion, seven hundred twenty-four million, three hundred eight thousand, nine hundred ninety-two".