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990252270 = 23357229289
BaseRepresentation
bin111011000001100…
…000110011101110
32120000100000202000
4323001200303232
54012001033040
6242132313130
733353001600
oct7301406356
92500300660
10990252270
11468a76207
122377727a6
1312a2063b7
1495731170
155be08130
hex3b060cee

990252270 has 288 divisors, whose sum is σ = 3217125600. Its totient is φ = 216082944.

The previous prime is 990252269. The next prime is 990252271. The reversal of 990252270 is 72252099.

990252270 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 (990252269) and next prime (990252271).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990252271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11126386 + ... + 11126474.

It is an arithmetic number, because the mean of its divisors is an integer number (11170575).

Almost surely, 2990252270 is an apocalyptic number.

990252270 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 990252270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608562800).

990252270 is an abundant number, since it is smaller than the sum of its proper divisors (2226873330).

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

990252270 is a wasteful number, since it uses less digits than its factorization.

990252270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 990252270 is about 31468.2740232126. The cubic root of 990252270 is about 996.7401415366.

The spelling of 990252270 in words is "nine hundred ninety million, two hundred fifty-two thousand, two hundred seventy".