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9022965840 = 2434572157181
BaseRepresentation
bin10000110011100111…
…11000100001010000
3212021211022011020000
420121303320201100
5121434334401330
64051201250000
7436411641600
oct103163704120
925254264200
109022965840
113910257869
1218b9933900
13b0a461655
146184b2c00
1537c216560
hex219cf8850

9022965840 has 600 divisors, whose sum is σ = 36889404552. Its totient is φ = 2037934080.

The previous prime is 9022965839. The next prime is 9022965857. The reversal of 9022965840 is 485692209.

It can be written as a sum of positive squares in 4 ways, for example, as 140280336 + 8882685504 = 11844^2 + 94248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49850550 + ... + 49850730.

Almost surely, 29022965840 is an apocalyptic number.

9022965840 is a gapful number since it is divisible by the number (90) 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 9022965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444702276).

9022965840 is an abundant number, since it is smaller than the sum of its proper divisors (27866438712).

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

9022965840 is a wasteful number, since it uses less digits than its factorization.

9022965840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9022965840 is about 94989.2932914021. The cubic root of 9022965840 is about 2081.8516118114.

The spelling of 9022965840 in words is "nine billion, twenty-two million, nine hundred sixty-five thousand, eight hundred forty".