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22483962816 = 263741719151
BaseRepresentation
bin10100111100001001…
…100000101111000000
32011000221112122122120
4110330021200233000
5332021343302231
614155021204240
71424113350000
oct247411405700
964027478576
1022483962816
11959867a057
124435a00680
1321741b0613
141134160000
158b8d79d96
hex53c260bc0

22483962816 has 560 divisors, whose sum is σ = 77861525760. Its totient is φ = 5689958400.

The previous prime is 22483962773. The next prime is 22483962841. The reversal of 22483962816 is 61826938422.

It is a happy number.

It is a super-2 number, since 2×224839628162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148900341 + ... + 148900491.

Almost surely, 222483962816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22483962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38930762880).

22483962816 is an abundant number, since it is smaller than the sum of its proper divisors (55377562944).

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

22483962816 is a wasteful number, since it uses less digits than its factorization.

22483962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 199 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 22483962816 in words is "twenty-two billion, four hundred eighty-three million, nine hundred sixty-two thousand, eight hundred sixteen".