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230300496 = 24341710453
BaseRepresentation
bin11011011101000…
…01101101010000
3121001100110220000
431232201231100
5432424103441
634504050000
75464344006
oct1556415520
9531313800
10230300496
11108aa9198
1265163900
1338935caa
142282ca76
15153422b6
hexdba1b50

230300496 has 100 divisors (see below), whose sum is σ = 705833172. Its totient is φ = 72244224.

The previous prime is 230300467. The next prime is 230300533. The reversal of 230300496 is 694003032.

230300496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208398096 + 21902400 = 14436^2 + 4680^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16806 + ... + 27258.

Almost surely, 2230300496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230300496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352916586).

230300496 is an abundant number, since it is smaller than the sum of its proper divisors (475532676).

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

230300496 is a wasteful number, since it uses less digits than its factorization.

230300496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230300496 is about 15175.6547140478. The cubic root of 230300496 is about 612.9592799040.

The spelling of 230300496 in words is "two hundred thirty million, three hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 10453 11016 20906 22032 31359 41812 62718 83624 94077 125436 167248 177701 188154 250872 282231 355402 376308 501744 533103 564462 710804 752616 846693 1066206 1128924 1421608 1505232 1599309 1693386 2132412 2257848 2843216 3198618 3386772 4264824 4515696 4797927 6397236 6773544 8529648 9595854 12794472 13547088 14393781 19191708 25588944 28787562 38383416 57575124 76766832 115150248 230300496