Search a number
-
+
230969664 = 2633731831
BaseRepresentation
bin11011100010001…
…01000101000000
3121002121110211000
431301011011000
5433112012124
634530252000
75503131642
oct1561050500
9532543730
10230969664
11109415a22
1265427000
1338b0b753
1422964892
15154256c9
hexdc45140

230969664 has 112 divisors (see below), whose sum is σ = 688685440. Its totient is φ = 75893760.

The previous prime is 230969663. The next prime is 230969677. The reversal of 230969664 is 466969032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230969663) 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, 125229 + ... + 127059.

Almost surely, 2230969664 is an apocalyptic number.

230969664 is a gapful number since it is divisible by the number (24) 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 230969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344342720).

230969664 is an abundant number, since it is smaller than the sum of its proper divisors (457715776).

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

230969664 is a wasteful number, since it uses less digits than its factorization.

230969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 230969664 is about 15197.6861396727. The cubic root of 230969664 is about 613.5523834253.

The spelling of 230969664 in words is "two hundred thirty million, nine hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1831 1971 2336 2628 3504 3662 3942 4672 5256 5493 7008 7324 7884 10512 10986 14016 14648 15768 16479 21024 21972 29296 31536 32958 42048 43944 49437 58592 63072 65916 87888 98874 117184 126144 131832 133663 175776 197748 263664 267326 351552 395496 400989 527328 534652 790992 801978 1054656 1069304 1202967 1581984 1603956 2138608 2405934 3163968 3207912 3608901 4277216 4811868 6415824 7217802 8554432 9623736 12831648 14435604 19247472 25663296 28871208 38494944 57742416 76989888 115484832 230969664