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22302379008 = 21032721329131
BaseRepresentation
bin10100110001010100…
…110100110000000000
32010120021212020111100
4110301110310300000
5331133402112013
614125013214400
71416450044100
oct246124646000
963507766440
1022302379008
119505125498
1243a5031400
1321456a3890
141117db3200
158a7e5c473
hex531534c00

22302379008 has 792 divisors, whose sum is σ = 84092888880. Its totient is φ = 5635768320.

The previous prime is 22302379007. The next prime is 22302379013. The reversal of 22302379008 is 80097320322.

It is a super-2 number, since 2×223023790082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302379003) 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, 170247103 + ... + 170247233.

It is an arithmetic number, because the mean of its divisors is an integer number (106177890).

Almost surely, 222302379008 is an apocalyptic number.

22302379008 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 22302379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42046444440).

22302379008 is an abundant number, since it is smaller than the sum of its proper divisors (61790509872).

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

22302379008 is a wasteful number, since it uses less digits than its factorization.

22302379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22302379008 in words is "twenty-two billion, three hundred two million, three hundred seventy-nine thousand, eight".