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230153130 = 23351974327
BaseRepresentation
bin11011011011111…
…01101110101010
3121001001222202000
431231331232222
5432404400010
634500551430
75463161244
oct1555755652
9531058660
10230153130
11108a084a9
12650b2576
13388b3bac
14227d1094
15153137c0
hexdb7dbaa

230153130 has 64 divisors (see below), whose sum is σ = 616999680. Its totient is φ = 61048512.

The previous prime is 230153129. The next prime is 230153153. The reversal of 230153130 is 31351032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51027 + ... + 55353.

It is an arithmetic number, because the mean of its divisors is an integer number (9640620).

Almost surely, 2230153130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230153130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308499840).

230153130 is an abundant number, since it is smaller than the sum of its proper divisors (386846550).

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

230153130 is a wasteful number, since it uses less digits than its factorization.

230153130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 230153130 is about 15170.7985946686. The cubic root of 230153130 is about 612.8285107097.

The spelling of 230153130 in words is "two hundred thirty million, one hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 197 270 394 591 985 1182 1773 1970 2955 3546 4327 5319 5910 8654 8865 10638 12981 17730 21635 25962 26595 38943 43270 53190 64905 77886 116829 129810 194715 233658 389430 584145 852419 1168290 1704838 2557257 4262095 5114514 7671771 8524190 12786285 15343542 23015313 25572570 38358855 46030626 76717710 115076565 230153130