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230263242 = 231121916693
BaseRepresentation
bin11011011100110…
…00100111001010
3121001021120210020
431232120213022
5432421410432
634503201310
75464130256
oct1556304712
9531246706
10230263242
11108a83200
1265146236
1338922051
142281d266
151533622c
hexdb989ca

230263242 has 48 divisors (see below), whose sum is σ = 532872480. Its totient is φ = 66100320.

The previous prime is 230263213. The next prime is 230263279. The reversal of 230263242 is 242362032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5448 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (11101510).

Almost surely, 2230263242 is an apocalyptic number.

230263242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230263242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266436240).

230263242 is an abundant number, since it is smaller than the sum of its proper divisors (302609238).

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

230263242 is a wasteful number, since it uses less digits than its factorization.

230263242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 230263242 is about 15174.4272379553. The cubic root of 230263242 is about 612.9262268323.

The spelling of 230263242 in words is "two hundred thirty million, two hundred sixty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 13794 16693 33386 50079 100158 183623 317167 367246 550869 634334 951501 1101738 1903002 2019853 3488837 4039706 6059559 6977674 10466511 12119118 20933022 38377207 76754414 115131621 230263242