Search a number
-
+
230152120 = 2351117291061
BaseRepresentation
bin11011011011111…
…01011110111000
3121001001221100121
431231331132320
5432404331440
634500543024
75463155302
oct1555753670
9531057317
10230152120
11108a07770
12650b1a74
13388b35b3
14227d0972
151531334a
hexdb7d7b8

230152120 has 128 divisors (see below), whose sum is σ = 619358400. Its totient is φ = 75980800.

The previous prime is 230152093. The next prime is 230152121. The reversal of 230152120 is 21251032.

It is a junction number, because it is equal to n+sod(n) for n = 230152094 and 230152103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230152121) by changing a digit.

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, 216390 + ... + 217450.

Almost surely, 2230152120 is an apocalyptic number.

230152120 is a gapful number since it is divisible by the number (20) 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 230152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309679200).

230152120 is an abundant number, since it is smaller than the sum of its proper divisors (389206280).

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

230152120 is a wasteful number, since it uses less digits than its factorization.

230152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 230152120 is about 15170.7653069975. The cubic root of 230152120 is about 612.8276142664.

The spelling of 230152120 in words is "two hundred thirty million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 85 88 110 116 136 145 170 187 220 232 290 319 340 374 440 493 580 638 680 748 935 986 1061 1160 1276 1496 1595 1870 1972 2122 2465 2552 3190 3740 3944 4244 4930 5305 5423 6380 7480 8488 9860 10610 10846 11671 12760 18037 19720 21220 21692 23342 27115 30769 36074 42440 43384 46684 54230 58355 61538 72148 90185 93368 108460 116710 123076 144296 153845 180370 198407 216920 233420 246152 307690 338459 360740 396814 466840 523073 615380 676918 721480 793628 992035 1046146 1230760 1353836 1587256 1692295 1984070 2092292 2615365 2707672 3384590 3968140 4184584 5230730 5753803 6769180 7936280 10461460 11507606 13538360 20922920 23015212 28769015 46030424 57538030 115076060 230152120