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230529157680 = 24354012395357
BaseRepresentation
bin1101011010110010011…
…0111100101000110000
3211001000222021120202010
43112230212330220300
512234110431021210
6253523103522520
722440504336423
oct3265446745060
9731028246663
10230529157680
1189848777228
12388178b9440
131897b207b13
14b22c9119ba
155ee3775920
hex35ac9bca30

230529157680 has 80 divisors (see below), whose sum is σ = 716422833504. Its totient is φ = 61321113600.

The previous prime is 230529157667. The next prime is 230529157717. The reversal of 230529157680 is 86751925032.

230529157680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1101439 + ... + 1293918.

Almost surely, 2230529157680 is an apocalyptic number.

230529157680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230529157680 is an abundant number, since it is smaller than the sum of its proper divisors (485893675824).

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

230529157680 is a wasteful number, since it uses less digits than its factorization.

230529157680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395774 (or 2395768 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 230529157680 in words is "two hundred thirty billion, five hundred twenty-nine million, one hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 48120 96240 2395357 4790714 7186071 9581428 11976785 14372142 19162856 23953570 28744284 35930355 38325712 47907140 57488568 71860710 95814280 114977136 143721420 191628560 287442840 574885680 960538157 1921076314 2881614471 3842152628 4802690785 5763228942 7684305256 9605381570 11526457884 14408072355 15368610512 19210763140 23052915768 28816144710 38421526280 46105831536 57632289420 76843052560 115264578840 230529157680