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230361720 = 23357326297
BaseRepresentation
bin11011011101100…
…00101001111000
3121001110120212120
431232300221320
5432433033340
634505241240
75465020341
oct1556605170
9531416776
10230361720
11109040196
1265193220
1338957b14
14228470c8
15153554d0
hexdbb0a78

230361720 has 64 divisors (see below), whose sum is σ = 700578720. Its totient is φ = 60585984.

The previous prime is 230361697. The next prime is 230361727. The reversal of 230361720 is 27163032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230361727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4389 + ... + 21908.

Almost surely, 2230361720 is an apocalyptic number.

230361720 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 230361720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350289360).

230361720 is an abundant number, since it is smaller than the sum of its proper divisors (470217000).

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

230361720 is a wasteful number, since it uses less digits than its factorization.

230361720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26384 (or 26380 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 230361720 is about 15177.6717582111. The cubic root of 230361720 is about 613.0135922692.

The spelling of 230361720 in words is "two hundred thirty million, three hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 26297 52594 78891 105188 131485 157782 210376 262970 315564 394455 525940 631128 788910 1051880 1577820 1919681 3155640 3839362 5759043 7678724 9598405 11518086 15357448 19196810 23036172 28795215 38393620 46072344 57590430 76787240 115180860 230361720