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230400198 = 23278322031
BaseRepresentation
bin11011011101110…
…10000011000110
3121001112112122200
431232322003012
5432440301243
634510135330
75465240460
oct1556720306
9531475580
10230400198
11109067096
12651b1546
133896c4a2
1422857130
1515361ad3
hexdbba0c6

230400198 has 48 divisors (see below), whose sum is σ = 577414656. Its totient is φ = 65032560.

The previous prime is 230400193. The next prime is 230400253. The reversal of 230400198 is 891004032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230400193) 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, 558 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (12029472).

Almost surely, 2230400198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230400198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

230400198 is an abundant number, since it is smaller than the sum of its proper divisors (347014458).

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

230400198 is a wasteful number, since it uses less digits than its factorization.

230400198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22129 (or 22126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 230400198 is about 15178.9392910045. The cubic root of 230400198 is about 613.0477215274.

The spelling of 230400198 in words is "two hundred thirty million, four hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 5229 10458 22031 44062 66093 132186 154217 198279 308434 396558 462651 925302 1387953 1828573 2775906 3657146 5485719 10971438 12800011 16457157 25600022 32914314 38400033 76800066 115200099 230400198