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22464068080 = 245739074241
BaseRepresentation
bin10100111010111101…
…100111100111110000
32010222120002220012111
4110322331213213300
5332001300134310
614153030535104
71423452266566
oct247275474760
963876086174
1022464068080
119588420923
12442b207494
13217003609c
141131661a36
158b724a28a
hex53af679f0

22464068080 has 80 divisors (see below), whose sum is σ = 53015294304. Its totient is φ = 8850677760.

The previous prime is 22464068069. The next prime is 22464068089. The reversal of 22464068080 is 8086046422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22464068089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5294760 + ... + 5299000.

Almost surely, 222464068080 is an apocalyptic number.

22464068080 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 22464068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507647152).

22464068080 is an abundant number, since it is smaller than the sum of its proper divisors (30551226224).

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

22464068080 is a wasteful number, since it uses less digits than its factorization.

22464068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 22464068080 in words is "twenty-two billion, four hundred sixty-four million, sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 907 1168 1460 1814 2920 3628 4241 4535 5840 7256 8482 9070 14512 16964 18140 21205 33928 36280 42410 66211 67856 72560 84820 132422 169640 264844 309593 331055 339280 529688 619186 662110 1059376 1238372 1324220 1547965 2476744 2648440 3095930 3846587 4953488 5296880 6191860 7693174 12383720 15386348 19232935 24767440 30772696 38465870 61545392 76931740 153863480 280800851 307726960 561601702 1123203404 1404004255 2246406808 2808008510 4492813616 5616017020 11232034040 22464068080