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230075964 = 22341574523
BaseRepresentation
bin11011011011010…
…10111000111100
3121000221001220000
431231222320330
5432344412324
634455154300
75462420256
oct1555527074
9530831800
10230075964
11108965528
1265075990
1338887a31
14227b0cd6
15152ea9c9
hexdb6ae3c

230075964 has 60 divisors (see below), whose sum is σ = 605428824. Its totient is φ = 76186656.

The previous prime is 230075933. The next prime is 230075983. The reversal of 230075964 is 469570032.

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

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 19 ways as a sum of consecutive naturals, for example, 48607 + ... + 53129.

Almost surely, 2230075964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230075964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302714412).

230075964 is an abundant number, since it is smaller than the sum of its proper divisors (375352860).

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

230075964 is a wasteful number, since it uses less digits than its factorization.

230075964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 230075964 is about 15168.2551402592. The cubic root of 230075964 is about 612.7600131100.

The spelling of 230075964 in words is "two hundred thirty million, seventy-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 4239 4523 5652 8478 9046 12717 13569 16956 18092 25434 27138 40707 50868 54276 81414 122121 162828 244242 366363 488484 710111 732726 1420222 1465452 2130333 2840444 4260666 6390999 8521332 12781998 19172997 25563996 38345994 57518991 76691988 115037982 230075964