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230642140 = 22519679059
BaseRepresentation
bin11011011111101…
…01000111011100
3121001222211112111
431233311013130
5433021022030
634515243404
75500266031
oct1557650734
9531884474
10230642140
11109211943
12652a9564
1338a25651
14228bb388
15153ad62a
hexdbf51dc

230642140 has 48 divisors (see below), whose sum is σ = 517507200. Its totient is φ = 86087232.

The previous prime is 230642129. The next prime is 230642149. The reversal of 230642140 is 41246032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230642149) 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, 20931 + ... + 29989.

It is an arithmetic number, because the mean of its divisors is an integer number (10781400).

Almost surely, 2230642140 is an apocalyptic number.

230642140 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 230642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258753600).

230642140 is an abundant number, since it is smaller than the sum of its proper divisors (286865060).

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

230642140 is a wasteful number, since it uses less digits than its factorization.

230642140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230642140 is about 15186.9068608456. The cubic root of 230642140 is about 613.2622324899.

Adding to 230642140 its reverse (41246032), we get a palindrome (271888172).

The spelling of 230642140 in words is "two hundred thirty million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 9059 12730 18118 25460 36236 45295 90590 172121 181180 344242 606953 688484 860605 1213906 1721210 2427812 3034765 3442420 6069530 11532107 12139060 23064214 46128428 57660535 115321070 230642140