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22379470848 = 213327103421
BaseRepresentation
bin10100110101111010…
…111010000000000000
32010202122220220121200
4110311322322000000
5331313121031343
614140405421200
71421404235460
oct246572720000
963678826550
1022379470848
11954469a759
124406a0a800
132158656357
14112431dba0
158aead94d3
hex535eba000

22379470848 has 336 divisors, whose sum is σ = 74777778816. Its totient is φ = 6317015040.

The previous prime is 22379470843. The next prime is 22379470901. The reversal of 22379470848 is 84807497322.

It is a happy number.

22379470848 is a `hidden beast` number, since 2 + 23 + 79 + 470 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 22379470794 and 22379470803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22379470843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53157678 + ... + 53158098.

Almost surely, 222379470848 is an apocalyptic number.

22379470848 is a gapful number since it is divisible by the number (28) 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 22379470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37388889408).

22379470848 is an abundant number, since it is smaller than the sum of its proper divisors (52398307968).

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

22379470848 is a wasteful number, since it uses less digits than its factorization.

22379470848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 22379470848 in words is "twenty-two billion, three hundred seventy-nine million, four hundred seventy thousand, eight hundred forty-eight".