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22608948096 = 273472191233
BaseRepresentation
bin10101000011100110…
…010010101110000000
32011100122201120020000
4111003212102232000
5332300342314341
614215244120000
71430161613400
oct250346225600
964318646200
1022608948096
119652186379
12446b836000
1321940616c7
1411469b6800
158c4d178b6
hex543992b80

22608948096 has 480 divisors, whose sum is σ = 79016446080. Its totient is φ = 6398300160.

The previous prime is 22608948077. The next prime is 22608948127. The reversal of 22608948096 is 69084980622.

It is a happy number.

22608948096 is a `hidden beast` number, since 22 + 60 + 89 + 480 + 9 + 6 = 666.

It is a super-2 number, since 2×226089480962 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97033996 + ... + 97034228.

It is an arithmetic number, because the mean of its divisors is an integer number (164617596).

Almost surely, 222608948096 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 22608948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508223040).

22608948096 is an abundant number, since it is smaller than the sum of its proper divisors (56407497984).

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

22608948096 is a wasteful number, since it uses less digits than its factorization.

22608948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22608948096 in words is "twenty-two billion, six hundred eight million, nine hundred forty-eight thousand, ninety-six".