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230407716 = 223711222669
BaseRepresentation
bin11011011101110…
…11111000100100
3121001112220222010
431232323320210
5432441021331
634510234220
75465301420
oct1556737044
9531486863
10230407716
11109071800
12651b5970
1338972a36
1422859b80
1515363e46
hexdbbbe24

230407716 has 72 divisors (see below), whose sum is σ = 675384640. Its totient is φ = 59843520.

The previous prime is 230407649. The next prime is 230407733. The reversal of 230407716 is 617704032.

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 23 ways as a sum of consecutive naturals, for example, 1171 + ... + 21498.

Almost surely, 2230407716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230407716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337692320).

230407716 is an abundant number, since it is smaller than the sum of its proper divisors (444976924).

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

230407716 is a wasteful number, since it uses less digits than its factorization.

230407716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22705 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 230407716 is about 15179.1869347472. The cubic root of 230407716 is about 613.0543894074.

The spelling of 230407716 in words is "two hundred thirty million, four hundred seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 22669 45338 68007 90676 136014 158683 249359 272028 317366 476049 498718 634732 748077 952098 997436 1496154 1745513 1904196 2742949 2992308 3491026 5236539 5485898 6982052 8228847 10473078 10971796 16457694 19200643 20946156 32915388 38401286 57601929 76802572 115203858 230407716