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153022380 = 223573743229
BaseRepresentation
bin10010001111011…
…10111110101100
3101122221100020120
421013232332230
5303133204010
623103444540
73535445250
oct1107567654
9348840216
10153022380
1179416a85
12432b6750
13259197b4
1416474260
15d679e70
hex91eefac

153022380 has 192 divisors, whose sum is σ = 516848640. Its totient is φ = 33094656.

The previous prime is 153022361. The next prime is 153022393. The reversal of 153022380 is 83220351.

153022380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153022380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668106 + ... + 668334.

It is an arithmetic number, because the mean of its divisors is an integer number (2691920).

Almost surely, 2153022380 is an apocalyptic number.

153022380 is a gapful number since it is divisible by the number (10) 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 153022380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258424320).

153022380 is an abundant number, since it is smaller than the sum of its proper divisors (363826260).

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

153022380 is a wasteful number, since it uses less digits than its factorization.

153022380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153022380 is about 12370.2215016547. The cubic root of 153022380 is about 534.8742010682.

The spelling of 153022380 in words is "one hundred fifty-three million, twenty-two thousand, three hundred eighty".