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150022368 = 253659109
BaseRepresentation
bin10001111000100…
…10100011100000
3101110021221000000
420330102203200
5301401203433
622515300000
73501111666
oct1074224340
9343257000
10150022368
1177758031
12422aa600
1325109142
1415cd2c36
15d286113
hex8f128e0

150022368 has 168 divisors, whose sum is σ = 454469400. Its totient is φ = 48708864.

The previous prime is 150022351. The next prime is 150022387. The reversal of 150022368 is 863220051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1376298 + ... + 1376406.

It is an arithmetic number, because the mean of its divisors is an integer number (2705175).

Almost surely, 2150022368 is an apocalyptic number.

150022368 is a gapful number since it is divisible by the number (18) 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 150022368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227234700).

150022368 is an abundant number, since it is smaller than the sum of its proper divisors (304447032).

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

150022368 is an equidigital number, since it uses as much as digits as its factorization.

150022368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150022368 is about 12248.3618496516. The cubic root of 150022368 is about 531.3556938863.

The spelling of 150022368 in words is "one hundred fifty million, twenty-two thousand, three hundred sixty-eight".