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230407520 = 2557205721
BaseRepresentation
bin11011011101110…
…11110101100000
3121001112220200212
431232323311200
5432441020040
634510233252
75465301020
oct1556736540
9531486625
10230407520
11109071642
12651b5828
1338972915
1422859a80
1515363d65
hexdbbbd60

230407520 has 48 divisors (see below), whose sum is σ = 622103328. Its totient is φ = 78996480.

The previous prime is 230407517. The next prime is 230407543. The reversal of 230407520 is 25704032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101741 + ... + 103980.

It is an arithmetic number, because the mean of its divisors is an integer number (12960486).

Almost surely, 2230407520 is an apocalyptic number.

230407520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230407520 is an abundant number, since it is smaller than the sum of its proper divisors (391695808).

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

230407520 is a wasteful number, since it uses less digits than its factorization.

230407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205743 (or 205735 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 230407520 is about 15179.1804785370. The cubic root of 230407520 is about 613.0542155725.

The spelling of 230407520 in words is "two hundred thirty million, four hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 205721 411442 822884 1028605 1440047 1645768 2057210 2880094 3291536 4114420 5760188 6583072 7200235 8228840 11520376 14400470 16457680 23040752 28800940 32915360 46081504 57601880 115203760 230407520