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230254112 = 25113121101
BaseRepresentation
bin11011011100101…
…10011000100000
3121001021010021002
431232112120200
5432421112422
634503051132
75464061534
oct1556263040
9531233232
10230254112
11108a77360
1265140aa8
133891ab4a
1422819bc4
1515333692
hexdb96620

230254112 has 48 divisors (see below), whose sum is σ = 510499584. Its totient is φ = 101280000.

The previous prime is 230254109. The next prime is 230254117. The reversal of 230254112 is 211452032.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230254117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (10635408).

Almost surely, 2230254112 is an apocalyptic number.

230254112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255249792).

230254112 is an abundant number, since it is smaller than the sum of its proper divisors (280245472).

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

230254112 is a wasteful number, since it uses less digits than its factorization.

230254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 230254112 is about 15174.1263998953. The cubic root of 230254112 is about 612.9181258282.

The spelling of 230254112 in words is "two hundred thirty million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 21101 42202 84404 168808 232111 337616 464222 654131 675232 928444 1308262 1856888 2616524 3713776 5233048 7195441 7427552 10466096 14390882 20932192 28781764 57563528 115127056 230254112