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22928881248 = 253672131543
BaseRepresentation
bin10101010110101010…
…101111011001100000
32012011221201212000000
4111112222233121200
5333424243144443
614311113300000
71441125163200
oct252652573140
965157655000
1022928881248
1197a6834939
12453aa04600
13221541b370
141177298400
158e2e628d3
hex556aaf660

22928881248 has 504 divisors, whose sum is σ = 84842000208. Its totient is φ = 6043258368.

The previous prime is 22928881211. The next prime is 22928881267. The reversal of 22928881248 is 84218882922.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22928881194 and 22928881203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859165 + ... + 14860707.

It is an arithmetic number, because the mean of its divisors is an integer number (168337302).

Almost surely, 222928881248 is an apocalyptic number.

22928881248 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 22928881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42421000104).

22928881248 is an abundant number, since it is smaller than the sum of its proper divisors (61913118960).

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

22928881248 is a wasteful number, since it uses less digits than its factorization.

22928881248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1568 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 22928881248 in words is "twenty-two billion, nine hundred twenty-eight million, eight hundred eighty-one thousand, two hundred forty-eight".