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992213280 = 25335312239
BaseRepresentation
bin111011001000111…
…111100100100000
32120011000122202000
4323020333210200
54013001311110
6242242324000
733405450042
oct7310774440
92504018660
10992213280
1146a095583
12238359600
1312a741b66
1495ac1a92
155c1941c0
hex3b23f920

992213280 has 288 divisors, whose sum is σ = 3603398400. Its totient is φ = 254983680.

The previous prime is 992213263. The next prime is 992213297. The reversal of 992213280 is 82312299.

992213280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (992213263) and next prime (992213297).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4151401 + ... + 4151639.

It is an arithmetic number, because the mean of its divisors is an integer number (12511800).

Almost surely, 2992213280 is an apocalyptic number.

992213280 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 992213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801699200).

992213280 is an abundant number, since it is smaller than the sum of its proper divisors (2611185120).

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

992213280 is a wasteful number, since it uses less digits than its factorization.

992213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 992213280 is about 31499.4171374646. The cubic root of 992213280 is about 997.3976603696.

The spelling of 992213280 in words is "nine hundred ninety-two million, two hundred thirteen thousand, two hundred eighty".