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22829865976980 = 22335312409107563
BaseRepresentation
bin1010011000011011111100…
…00011010100010010010100
32222211111212121112220222000
411030031332003110102110
510443021031142230410
6120315521243035300
74544255234653116
oct514157603242224
988744777486860
1022829865976980
117302101197117
1226886b7b0bb30
13c97b02192baa
1458cd857913b6
15298ccd108dc0
hex14c37e0d4494

22829865976980 has 288 divisors, whose sum is σ = 73571452617600. Its totient is φ = 5877118840320.

The previous prime is 22829865976969. The next prime is 22829865977033. The reversal of 22829865976980 is 8967956892822.

It is a self number, because there is not a number n which added to its sum of digits gives 22829865976980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212192679 + ... + 212300241.

It is an arithmetic number, because the mean of its divisors is an integer number (255456432700).

Almost surely, 222829865976980 is an apocalyptic number.

22829865976980 is a gapful number since it is divisible by the number (20) 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 22829865976980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36785726308800).

22829865976980 is an abundant number, since it is smaller than the sum of its proper divisors (50741586640620).

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

22829865976980 is a wasteful number, since it uses less digits than its factorization.

22829865976980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108052 (or 108013 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 22829865976980 in words is "twenty-two trillion, eight hundred twenty-nine billion, eight hundred sixty-five million, nine hundred seventy-six thousand, nine hundred eighty".