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230388150375 = 32531910778393
BaseRepresentation
bin1101011010010000110…
…1000011000001100111
3211000200010221200002100
43112210031003001213
512233313331303000
6253501105343143
722434142652415
oct3264415030147
9730603850070
10230388150375
1189786117369
1238798637ab3
1318957c37146
14b217cc82b5
155ed61c0a00
hex35a4343067

230388150375 has 48 divisors (see below), whose sum is σ = 437171660640. Its totient is φ = 116406633600.

The previous prime is 230388150361. The next prime is 230388150403. The reversal of 230388150375 is 573051883032.

230388150375 is a `hidden beast` number, since 2 + 30 + 38 + 81 + 503 + 7 + 5 = 666.

It is not a de Polignac number, because 230388150375 - 24 = 230388150359 is a prime.

It is a super-2 number, since 2×2303881503752 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 230388150375.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5367822 + ... + 5410571.

It is an arithmetic number, because the mean of its divisors is an integer number (9107742930).

Almost surely, 2230388150375 is an apocalyptic number.

230388150375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230388150375 is a deficient number, since it is larger than the sum of its proper divisors (206783510265).

230388150375 is a wasteful number, since it uses less digits than its factorization.

230388150375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778433 (or 10778420 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 230388150375 in words is "two hundred thirty billion, three hundred eighty-eight million, one hundred fifty thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 475 855 1125 1425 2375 4275 7125 21375 10778393 32335179 53891965 97005537 161675895 204789467 269459825 485027685 614368401 808379475 1023947335 1347299125 1843105203 2425138425 3071842005 4041897375 5119736675 9215526015 12125692125 15359210025 25598683375 46077630075 76796050125 230388150375