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22296430080 = 293251931253
BaseRepresentation
bin10100110000111110…
…001000011000000000
32010112212200000002200
4110300332020120000
5331130341230310
614124241513200
71416345346221
oct246076103000
963485600080
1022296430080
119501831a21
1243a3042800
13214439cbc2
1411172a5248
158a76849c0
hex530f88600

22296430080 has 720 divisors, whose sum is σ = 85574277360. Its totient is φ = 5348229120.

The previous prime is 22296430001. The next prime is 22296430097. The reversal of 22296430080 is 8003469222.

22296430080 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 643 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 420687334 + ... + 420687386.

It is an arithmetic number, because the mean of its divisors is an integer number (118853163).

Almost surely, 222296430080 is an apocalyptic number.

22296430080 is a gapful number since it is divisible by the number (20) 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 22296430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42787138680).

22296430080 is an abundant number, since it is smaller than the sum of its proper divisors (63277847280).

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

22296430080 is a wasteful number, since it uses less digits than its factorization.

22296430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22296430080 in words is "twenty-two billion, two hundred ninety-six million, four hundred thirty thousand, eighty".