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22048094376 = 23347112172139
BaseRepresentation
bin10100100010001010…
…110011100010101000
32002220120101020120000
4110202022303202220
5330123303010001
614043451103000
71410241465350
oct244212634250
962816336500
1022048094376
119394635700
124333a41a60
132104ac0bb9
1410d22ddb60
1589097da86
hex5222b38a8

22048094376 has 720 divisors, whose sum is σ = 83001256800. Its totient is φ = 5351132160.

The previous prime is 22048094371. The next prime is 22048094401. The reversal of 22048094376 is 67349084022.

22048094376 is a `hidden beast` number, since 2 + 204 + 8 + 0 + 9 + 437 + 6 = 666.

It is a super-2 number, since 2×220480943762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22048094371) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 158619315 + ... + 158619453.

Almost surely, 222048094376 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 22048094376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41500628400).

22048094376 is an abundant number, since it is smaller than the sum of its proper divisors (60953162424).

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

22048094376 is a wasteful number, since it uses less digits than its factorization.

22048094376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22048094376 in words is "twenty-two billion, forty-eight million, ninety-four thousand, three hundred seventy-six".