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22141046400 = 2735211209669
BaseRepresentation
bin10100100111101101…
…011000111010000000
32010011001021200202120
4110213231120322000
5330321101441100
614101011244240
71412450534454
oct244755307200
963131250676
1022141046400
119432052960
12435aba9680
13211b1376b5
1411007b8664
15898be00a0
hex527b58e80

22141046400 has 192 divisors, whose sum is σ = 79557184800. Its totient is φ = 5367500800.

The previous prime is 22141046341. The next prime is 22141046437. The reversal of 22141046400 is 464014122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 210434.

Almost surely, 222141046400 is an apocalyptic number.

22141046400 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 22141046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778592400).

22141046400 is an abundant number, since it is smaller than the sum of its proper divisors (57416138400).

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

22141046400 is a wasteful number, since it uses less digits than its factorization.

22141046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209707 (or 209690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 22141046400 in words is "twenty-two billion, one hundred forty-one million, forty-six thousand, four hundred".