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21994605600 = 25352112233789
BaseRepresentation
bin10100011110111110…
…110000110000100000
32002202211201201202020
4110132332300300200
5330021104334400
614034300421440
71406022030402
oct243676606040
962684651666
1021994605600
119367421800
124319b47880
1320c69b3836
1410c9178b72
1588ae152a0
hex51efb0c20

21994605600 has 864 divisors, whose sum is σ = 85280791680. Its totient is φ = 4906598400.

The previous prime is 21994605587. The next prime is 21994605613. The reversal of 21994605600 is 650649912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21994605587) and next prime (21994605613).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247130356 + ... + 247130444.

It is an arithmetic number, because the mean of its divisors is an integer number (98704620).

Almost surely, 221994605600 is an apocalyptic number.

21994605600 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 21994605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42640395840).

21994605600 is an abundant number, since it is smaller than the sum of its proper divisors (63286186080).

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

21994605600 is a wasteful number, since it uses less digits than its factorization.

21994605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 21994605600 in words is "twenty-one billion, nine hundred ninety-four million, six hundred five thousand, six hundred".