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22661009280 = 2733571314411
BaseRepresentation
bin10101000110101100…
…111000111110000000
32011111021200112202000
4111012230320332000
5332402204244110
614224344024000
71431363254310
oct250654707600
964437615660
1022661009280
119679604748
124485162000
1321a1a8c040
14114d889440
158c969d1c0
hex546b38f80

22661009280 has 512 divisors, whose sum is σ = 98785612800. Its totient is φ = 4780892160.

The previous prime is 22661009257. The next prime is 22661009309. The reversal of 22661009280 is 8290016622.

It is a happy number.

It is a super-2 number, since 2×226610092802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565275 + ... + 1579685.

It is an arithmetic number, because the mean of its divisors is an integer number (192940650).

Almost surely, 222661009280 is an apocalyptic number.

22661009280 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 22661009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392806400).

22661009280 is an abundant number, since it is smaller than the sum of its proper divisors (76124603520).

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

22661009280 is a wasteful number, since it uses less digits than its factorization.

22661009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22661009280 in words is "twenty-two billion, six hundred sixty-one million, nine thousand, two hundred eighty".