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10298422332 = 223211193167659
BaseRepresentation
bin10011001011101010…
…10111010000111100
3222120201022001121100
421211311113100330
5132042344003312
64421522533100
7513130100622
oct114565272074
928521261540
1010298422332
114405211140
121bb4b07190
13c81785133
146d9a45512
154041a95dc
hex265d5743c

10298422332 has 288 divisors, whose sum is σ = 31365734400. Its totient is φ = 2814134400.

The previous prime is 10298422297. The next prime is 10298422361. The reversal of 10298422332 is 23322489201.

10298422332 is a `hidden beast` number, since 10 + 298 + 4 + 22 + 332 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15627019 + ... + 15627677.

It is an arithmetic number, because the mean of its divisors is an integer number (108908800).

Almost surely, 210298422332 is an apocalyptic number.

10298422332 is a gapful number since it is divisible by the number (12) 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 10298422332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682867200).

10298422332 is an abundant number, since it is smaller than the sum of its proper divisors (21067312068).

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

10298422332 is a wasteful number, since it uses less digits than its factorization.

10298422332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 102984 and 22332, that added together give a square (125316 = 3542).

The spelling of 10298422332 in words is "ten billion, two hundred ninety-eight million, four hundred twenty-two thousand, three hundred thirty-two".