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22309390656 = 263571012029
BaseRepresentation
bin10100110001101111…
…100100100101000000
32010120210001110200000
4110301233210211000
5331142201000111
614125423400000
71416563456160
oct246157444500
963523043600
1022309390656
119509084443
1243a7453000
132146c8a197
141118cba5a0
158a8894c56
hex531be4940

22309390656 has 336 divisors, whose sum is σ = 76575757440. Its totient is φ = 6307891200.

The previous prime is 22309390613. The next prime is 22309390669. The reversal of 22309390656 is 65609390322.

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

It is a super-3 number, since 3×223093906563 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10994250 + ... + 10996278.

It is an arithmetic number, because the mean of its divisors is an integer number (227904040).

Almost surely, 222309390656 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 22309390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38287878720).

22309390656 is an abundant number, since it is smaller than the sum of its proper divisors (54266366784).

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

22309390656 is a wasteful number, since it uses less digits than its factorization.

22309390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 22309390656 in words is "twenty-two billion, three hundred nine million, three hundred ninety thousand, six hundred fifty-six".