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22323681072 = 2432721132377
BaseRepresentation
bin10100110010100110…
…000101011100110000
32010121202221111102200
4110302212011130300
5331204330243242
614131053543200
71420126105200
oct246246053460
963552844380
1022323681072
119516155000
1243b01a4b00
132149c21854
14111ab5a400
158a9c6904c
hex532985730

22323681072 has 360 divisors, whose sum is σ = 79971055632. Its totient is φ = 5795919360.

The previous prime is 22323681071. The next prime is 22323681089. The reversal of 22323681072 is 27018632322.

22323681072 is a `hidden beast` number, since 223 + 2 + 368 + 1 + 0 + 72 = 666.

It is a super-3 number, since 3×223236810723 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22323681071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9390348 + ... + 9392724.

Almost surely, 222323681072 is an apocalyptic number.

22323681072 is a gapful number since it is divisible by the number (22) 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 22323681072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39985527816).

22323681072 is an abundant number, since it is smaller than the sum of its proper divisors (57647374560).

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

22323681072 is a wasteful number, since it uses less digits than its factorization.

22323681072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22323681072 in words is "twenty-two billion, three hundred twenty-three million, six hundred eighty-one thousand, seventy-two".