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230233220 = 225723127563
BaseRepresentation
bin11011011100100…
…01010010000100
3121001020001121022
431232101102010
5432414430340
634502410312
75463643610
oct1556212204
9531201538
10230233220
11108a62698
1265130998
1338911499
1422812340
151532c3b5
hexdb91484

230233220 has 96 divisors (see below), whose sum is σ = 582156288. Its totient is φ = 74777472.

The previous prime is 230233207. The next prime is 230233229. The reversal of 230233220 is 22332032.

It is not an unprimeable number, because it can be changed into a prime (230233229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408659 + ... + 409221.

It is an arithmetic number, because the mean of its divisors is an integer number (6064128).

Almost surely, 2230233220 is an apocalyptic number.

230233220 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 230233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291078144).

230233220 is an abundant number, since it is smaller than the sum of its proper divisors (351923068).

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

230233220 is a wasteful number, since it uses less digits than its factorization.

230233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 230233220 is about 15173.4379756204. The cubic root of 230233220 is about 612.8995876536.

Adding to 230233220 its reverse (22332032), we get a palindrome (252565252).

The spelling of 230233220 in words is "two hundred thirty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 127 140 161 230 254 322 460 508 563 635 644 805 889 1126 1270 1610 1778 2252 2540 2815 2921 3220 3556 3941 4445 5630 5842 7882 8890 11260 11684 12949 14605 15764 17780 19705 20447 25898 29210 39410 40894 51796 58420 64745 71501 78820 81788 90643 102235 129490 143002 181286 204470 258980 286004 357505 362572 408940 453215 500507 715010 906430 1001014 1430020 1644523 1812860 2002028 2502535 3289046 5005070 6578092 8222615 10010140 11511661 16445230 23023322 32890460 46046644 57558305 115116610 230233220