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22427074620 = 223253141167587
BaseRepresentation
bin10100111000110000…
…100000000000111100
32010212222111102201100
4110320300200000330
5331412312341440
614145230013100
71422522663126
oct247060400074
963788442640
1022427074620
119569554115
12441a947190
132165482b72
14112a792216
158b3d8e230
hex538c2003c

22427074620 has 288 divisors, whose sum is σ = 72490070016. Its totient is φ = 5603097600.

The previous prime is 22427074609. The next prime is 22427074627. The reversal of 22427074620 is 2647072422.

22427074620 is a `hidden beast` number, since 2 + 2 + 4 + 27 + 0 + 7 + 4 + 620 = 666.

It is a super-2 number, since 2×224270746202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22427074627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38205967 + ... + 38206553.

It is an arithmetic number, because the mean of its divisors is an integer number (251701632).

Almost surely, 222427074620 is an apocalyptic number.

22427074620 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 22427074620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36245035008).

22427074620 is an abundant number, since it is smaller than the sum of its proper divisors (50062995396).

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

22427074620 is a wasteful number, since it uses less digits than its factorization.

22427074620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 22427074620 in words is "twenty-two billion, four hundred twenty-seven million, seventy-four thousand, six hundred twenty".