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230200131220 = 225191015997919
BaseRepresentation
bin1101011001100011111…
…1110011111010010100
3211000012001011022021221
43112120333303322110
512232422213144340
6253430311420124
722426400554543
oct3263077637224
9730161138257
10230200131220
1189699a77834
1238745684644
1318927cb61c7
14b1dad4415a
155ec493144a
hex3598ff3e94

230200131220 has 48 divisors (see below), whose sum is σ = 513901785600. Its totient is φ = 86370019200.

The previous prime is 230200131193. The next prime is 230200131263. The reversal of 230200131220 is 22131002032.

It is a junction number, because it is equal to n+sod(n) for n = 230200131194 and 230200131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960580 + ... + 3037339.

It is an arithmetic number, because the mean of its divisors is an integer number (10706287200).

Almost surely, 2230200131220 is an apocalyptic number.

230200131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230200131220 is an abundant number, since it is smaller than the sum of its proper divisors (283701654380).

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

230200131220 is a wasteful number, since it uses less digits than its factorization.

230200131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998048 (or 5998046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230200131220 its reverse (22131002032), we get a palindrome (252331133252).

The spelling of 230200131220 in words is "two hundred thirty billion, two hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3838 7676 9595 19190 38380 5997919 11995838 23991676 29989595 59979190 113960461 119958380 227920922 455841844 569802305 605789819 1139604610 1211579638 2279209220 2423159276 3028949095 6057898190 11510006561 12115796380 23020013122 46040026244 57550032805 115100065610 230200131220