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22305419136 = 27327111323292
BaseRepresentation
bin10100110001100000…
…011010111110000000
32010120111120200202200
4110301200122332000
5331140141403021
614125202313200
71416514635330
oct246140327600
963514520680
1022305419136
1195069115a0
1243a6058800
1321461c9580
1411185650c0
158a835d126
hex53181af80

22305419136 has 1152 divisors, whose sum is σ = 93134845440. Its totient is φ = 4939038720.

The previous prime is 22305419117. The next prime is 22305419137. The reversal of 22305419136 is 63191450322.

22305419136 is a `hidden beast` number, since 2 + 23 + 0 + 541 + 91 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22305419136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22305419137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 769152370 + ... + 769152398.

It is an arithmetic number, because the mean of its divisors is an integer number (80846220).

Almost surely, 222305419136 is an apocalyptic number.

22305419136 is a gapful number since it is divisible by the number (26) 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 22305419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46567422720).

22305419136 is an abundant number, since it is smaller than the sum of its proper divisors (70829426304).

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

22305419136 is a wasteful number, since it uses less digits than its factorization.

22305419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 22305419136 its reverse (63191450322), we get a palindrome (85496869458).

The spelling of 22305419136 in words is "twenty-two billion, three hundred five million, four hundred nineteen thousand, one hundred thirty-six".