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390221496 = 23337323229
BaseRepresentation
bin10111010000100…
…100111010111000
31000012021022021000
4113100210322320
51244344041441
6102415445000
712445554000
oct2720447270
91005238230
10390221496
111902a7205
12aa826760
1362ac97c2
1439b7b000
15243d12b6
hex17424eb8

390221496 has 256 divisors, whose sum is σ = 1324800000. Its totient is φ = 106178688.

The previous prime is 390221471. The next prime is 390221497. The reversal of 390221496 is 694122093.

390221496 is a `hidden beast` number, since 390 + 221 + 49 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390221496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390221497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1703910 + ... + 1704138.

It is an arithmetic number, because the mean of its divisors is an integer number (5175000).

Almost surely, 2390221496 is an apocalyptic number.

390221496 is a gapful number since it is divisible by the number (36) 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 390221496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662400000).

390221496 is an abundant number, since it is smaller than the sum of its proper divisors (934578504).

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

390221496 is a wasteful number, since it uses less digits than its factorization.

390221496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390221496 is about 19754.0248050872. The cubic root of 390221496 is about 730.7526458945.

The spelling of 390221496 in words is "three hundred ninety million, two hundred twenty-one thousand, four hundred ninety-six".