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230134398 = 23132733109
BaseRepresentation
bin11011011011110…
…01001001111110
3121001001001001020
431231321021332
5432403300043
634500325010
75463052524
oct1555711176
9531031036
10230134398
111089a541a
12650a3766
13388a8500
14227c8314
151530ce83
hexdb7927e

230134398 has 48 divisors (see below), whose sum is σ = 505387440. Its totient is φ = 69818112.

The previous prime is 230134391. The next prime is 230134417. The reversal of 230134398 is 893431032.

It is a happy number.

It is a super-2 number, since 2×2301343982 = 105923682285644808, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230134391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72468 + ... + 75576.

It is an arithmetic number, because the mean of its divisors is an integer number (10528905).

Almost surely, 2230134398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230134398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252693720).

230134398 is an abundant number, since it is smaller than the sum of its proper divisors (275253042).

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

230134398 is a wasteful number, since it uses less digits than its factorization.

230134398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 230134398 is about 15170.1812118379. The cubic root of 230134398 is about 612.8118843661.

The spelling of 230134398 in words is "two hundred thirty million, one hundred thirty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 338 438 507 949 1014 1898 2847 3109 5694 6218 9327 12337 18654 24674 37011 40417 74022 80834 121251 226957 242502 453914 525421 680871 1050842 1361742 1576263 2950441 3152526 5900882 8851323 17702646 38355733 76711466 115067199 230134398