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230657202041220 = 22335427142966743
BaseRepresentation
bin110100011100100000010000…
…100101111011000110000100
31010020200121112222220122102000
4310130200100211323012010
5220213041422210304340
62134322242241145300
766404301330132363
oct6434402045730604
91106617488818360
10230657202041220
1167549196371129
1221a52ab232b230
139b91b5b2216a6
1440d5c222957da
151b9edca9a3d30
hexd1c81097b184

230657202041220 has 48 divisors (see below), whose sum is σ = 717600184129920. Its totient is φ = 61508587210848.

The previous prime is 230657202041153. The next prime is 230657202041297. The reversal of 230657202041220 is 22140202756032.

230657202041220 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 572 + 0 + 20 + 41 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 213571482832 + ... + 213571483911.

It is an arithmetic number, because the mean of its divisors is an integer number (14950003836040).

Almost surely, 2230657202041220 is an apocalyptic number.

230657202041220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230657202041220 is an abundant number, since it is smaller than the sum of its proper divisors (486942982088700).

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

230657202041220 is a wasteful number, since it uses less digits than its factorization.

230657202041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427142966761 (or 427142966753 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 230657202041220 its reverse (22140202756032), we get a palindrome (252797404797252).

The spelling of 230657202041220 in words is "two hundred thirty trillion, six hundred fifty-seven billion, two hundred two million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 427142966743 854285933486 1281428900229 1708571866972 2135714833715 2562857800458 3844286700687 4271429667430 5125715600916 6407144501145 7688573401374 8542859334860 11532860102061 12814289002290 15377146802748 19221433503435 23065720204122 25628578004580 38442867006870 46131440408244 57664300510305 76885734013740 115328601020610 230657202041220