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22345050000 = 243557131637
BaseRepresentation
bin10100110011110111…
…100110011110010000
32010200021011011002110
4110303313212132100
5331230313100000
614133135545320
71420505535240
oct246367463620
963607134073
1022345050000
11952721a879
1243b738b240
1321514940a0
14111d91db20
158aba8a850
hex533de6790

22345050000 has 480 divisors, whose sum is σ = 88855812864. Its totient is φ = 4711680000.

The previous prime is 22345049983. The next prime is 22345050017. The reversal of 22345050000 is 5054322.

It is an interprime number because it is at equal distance from previous prime (22345049983) and next prime (22345050017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13649182 + ... + 13650818.

Almost surely, 222345050000 is an apocalyptic number.

22345050000 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 22345050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44427906432).

22345050000 is an abundant number, since it is smaller than the sum of its proper divisors (66510762864).

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

22345050000 is a wasteful number, since it uses less digits than its factorization.

22345050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The spelling of 22345050000 in words is "twenty-two billion, three hundred forty-five million, fifty thousand".