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23224274304 = 2737111993947
BaseRepresentation
bin10101101000010001…
…100100110110000000
32012221112120101002120
4111220101210312000
5340030403234204
614400304444240
71451343034350
oct255021446600
965845511076
1023224274304
119938552030
124601919680
13226169525a
1411a45ccb60
1590dd616d9
hex568464d80

23224274304 has 256 divisors, whose sum is σ = 77317632000. Its totient is φ = 6000445440.

The previous prime is 23224274267. The next prime is 23224274327. The reversal of 23224274304 is 40347242232.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 5882059 + ... + 5886005.

It is an arithmetic number, because the mean of its divisors is an integer number (302022000).

Almost surely, 223224274304 is an apocalyptic number.

23224274304 is a gapful number since it is divisible by the number (24) 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 23224274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38658816000).

23224274304 is an abundant number, since it is smaller than the sum of its proper divisors (54093357696).

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

23224274304 is a wasteful number, since it uses less digits than its factorization.

23224274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The spelling of 23224274304 in words is "twenty-three billion, two hundred twenty-four million, two hundred seventy-four thousand, three hundred four".