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22327197696 = 21735701
BaseRepresentation
bin10100110010110011…
…100000000000000000
32010122000120011100000
4110302303200000000
5331211230311241
614131301200000
71420201022556
oct246263400000
963560504300
1022327197696
119518137101
1243b1400000
13214a8833ab
14111b3d3bd6
158aa210eb6
hex532ce0000

22327197696 has 216 divisors, whose sum is σ = 66984876504. Its totient is φ = 7431782400.

The previous prime is 22327197689. The next prime is 22327197703. The reversal of 22327197696 is 69679172322.

22327197696 is a `hidden beast` number, since 223 + 271 + 97 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22327197689) and next prime (22327197703).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×223271976963 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850146 + ... + 31850846.

It is an arithmetic number, because the mean of its divisors is an integer number (310115169).

Almost surely, 222327197696 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 22327197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33492438252).

22327197696 is an abundant number, since it is smaller than the sum of its proper divisors (44657678808).

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

22327197696 is an frugal number, since it uses more digits than its factorization.

22327197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 706 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 22327197696 in words is "twenty-two billion, three hundred twenty-seven million, one hundred ninety-seven thousand, six hundred ninety-six".