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230223021300 = 223252293873049
BaseRepresentation
bin1101011001101001011…
…1001000010011110100
3211000020122020020120200
43112122113020103310
512232444043140200
6253432450200500
722430066251506
oct3263227102364
9730218206520
10230223021300
1189700991458
1238751283130
131892c96bc2c
14b1dddc1d76
155ec6953800
hex359a5c84f4

230223021300 has 108 divisors (see below), whose sum is σ = 724084970700. Its totient is φ = 61183203840.

The previous prime is 230223021289. The next prime is 230223021361. The reversal of 230223021300 is 3120322032.

It is a happy number.

230223021300 is a `hidden beast` number, since 2 + 302 + 230 + 2 + 130 + 0 = 666.

230223021300 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 6 ways, for example, as 32415121764 + 197807899536 = 180042^2 + 444756^2 .

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

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 172825 + ... + 700224.

Almost surely, 2230223021300 is an apocalyptic number.

230223021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230223021300 is an abundant number, since it is smaller than the sum of its proper divisors (493861949400).

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

230223021300 is a wasteful number, since it uses less digits than its factorization.

230223021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873362 (or 873352 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230223021300 its reverse (3120322032), we get a palindrome (233343343332).

The spelling of 230223021300 in words is "two hundred thirty billion, two hundred twenty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 293 300 450 586 879 900 1172 1465 1758 2637 2930 3516 4395 5274 5860 7325 8790 10548 13185 14650 17580 21975 26370 29300 43950 52740 65925 87900 131850 263700 873049 1746098 2619147 3492196 4365245 5238294 7857441 8730490 10476588 13095735 15714882 17460980 21826225 26191470 31429764 39287205 43652450 52382940 65478675 78574410 87304900 130957350 157148820 196436025 255803357 261914700 392872050 511606714 767410071 785744100 1023213428 1279016785 1534820142 2302230213 2558033570 3069640284 3837050355 4604460426 5116067140 6395083925 7674100710 9208920852 11511151065 12790167850 15348201420 19185251775 23022302130 25580335700 38370503550 46044604260 57555755325 76741007100 115111510650 230223021300