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230153829 = 3677911317
BaseRepresentation
bin11011011011111…
…01111001100101
3121001002000200220
431231331321211
5432404410304
634500554553
75463163263
oct1555757145
9531060626
10230153829
11108a08a84
12650b2a59
13388b42c9
14227d1433
1515313ad9
hexdb7de65

230153829 has 8 divisors (see below), whose sum is σ = 306944160. Its totient is φ = 153399696.

The previous prime is 230153761. The next prime is 230153849. The reversal of 230153829 is 928351032.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 230153829 - 219 = 229629541 is a prime.

It is a super-2 number, since 2×2301538292 = 105941570006722482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230153829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230153849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14679 + ... + 25995.

It is an arithmetic number, because the mean of its divisors is an integer number (38368020).

Almost surely, 2230153829 is an apocalyptic number.

It is an amenable number.

230153829 is a deficient number, since it is larger than the sum of its proper divisors (76790331).

230153829 is a wasteful number, since it uses less digits than its factorization.

230153829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18099.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 230153829 is about 15170.8216323309. The cubic root of 230153829 is about 612.8291311180.

The spelling of 230153829 in words is "two hundred thirty million, one hundred fifty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 6779 11317 20337 33951 76717943 230153829