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22550901120 = 2733511294091
BaseRepresentation
bin10101000000001000…
…110111000110000000
32011012121111110202000
4111000020313012000
5332141012313440
614205412024000
71425555332256
oct250010670600
964177443660
1022550901120
119622439870
124454302000
132185019697
14113cdc65d6
158beb9d730
hex540237180

22550901120 has 512 divisors, whose sum is σ = 90154944000. Its totient is φ = 5277081600.

The previous prime is 22550901119. The next prime is 22550901137. The reversal of 22550901120 is 2110905522.

22550901120 is a `hidden beast` number, since 2 + 2 + 550 + 90 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5510275 + ... + 5514365.

It is an arithmetic number, because the mean of its divisors is an integer number (176083875).

Almost surely, 222550901120 is an apocalyptic number.

22550901120 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 22550901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077472000).

22550901120 is an abundant number, since it is smaller than the sum of its proper divisors (67604042880).

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

22550901120 is a wasteful number, since it uses less digits than its factorization.

22550901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 22550901120 in words is "twenty-two billion, five hundred fifty million, nine hundred one thousand, one hundred twenty".