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230683488 = 25372831213
BaseRepresentation
bin11011011111111…
…11001101100000
3121002001221020220
431233333031200
5433023332423
634520203040
75500530420
oct1557771540
9532057226
10230683488
1110923aa12
1265309480
1338a3b409
14228cc480
15153ba9e3
hexdbff360

230683488 has 96 divisors (see below), whose sum is σ = 695068416. Its totient is φ = 65622528.

The previous prime is 230683471. The next prime is 230683501. The reversal of 230683488 is 884386032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2306834882 = 106429743271692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189570 + ... + 190782.

It is an arithmetic number, because the mean of its divisors is an integer number (7240296).

Almost surely, 2230683488 is an apocalyptic number.

230683488 is a gapful number since it is divisible by the number (28) 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 230683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347534208).

230683488 is an abundant number, since it is smaller than the sum of its proper divisors (464384928).

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

230683488 is a wasteful number, since it uses less digits than its factorization.

230683488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 230683488 is about 15188.2681040335. The cubic root of 230683488 is about 613.2988775015.

The spelling of 230683488 in words is "two hundred thirty million, six hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 283 336 566 672 849 1132 1213 1698 1981 2264 2426 3396 3639 3962 4528 4852 5943 6792 7278 7924 8491 9056 9704 11886 13584 14556 15848 16982 19408 23772 25473 27168 29112 31696 33964 38816 47544 50946 58224 63392 67928 95088 101892 116448 135856 190176 203784 271712 343279 407568 686558 815136 1029837 1373116 2059674 2402953 2746232 4119348 4805906 5492464 7208859 8238696 9611812 10984928 14417718 16477392 19223624 28835436 32954784 38447248 57670872 76894496 115341744 230683488