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230255432 = 2311732491
BaseRepresentation
bin11011011100101…
…10101101001000
3121001021012001222
431232112231020
5432421133212
634503101212
75464065431
oct1556265510
9531235058
10230255432
11108a78350
1265141808
133891b624
142281a488
1515333c72
hexdb96b48

230255432 has 48 divisors (see below), whose sum is σ = 478489680. Its totient is φ = 103017600.

The previous prime is 230255413. The next prime is 230255449. The reversal of 230255432 is 234552032.

230255432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468707 + ... + 469197.

It is an arithmetic number, because the mean of its divisors is an integer number (9968535).

Almost surely, 2230255432 is an apocalyptic number.

230255432 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 230255432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239244840).

230255432 is an abundant number, since it is smaller than the sum of its proper divisors (248234248).

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

230255432 is a wasteful number, since it uses less digits than its factorization.

230255432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 230255432 is about 15174.1698949234. The cubic root of 230255432 is about 612.9192970710.

The spelling of 230255432 in words is "two hundred thirty million, two hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 491 584 803 982 1606 1964 3212 3928 5329 5401 6424 10658 10802 21316 21604 35843 42632 43208 58619 71686 117238 143372 234476 286744 394273 468952 788546 1577092 2616539 3154184 5233078 10466156 20932312 28781929 57563858 115127716 230255432