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230638848 = 28311231187
BaseRepresentation
bin11011011111101…
…00010100000000
3121001222200000120
431233310110000
5433020420343
634515220240
75500253316
oct1557642400
9531880016
10230638848
1110920a420
12652a7680
1338a23cbb
14228ba0b6
15153ac683
hexdbf4500

230638848 has 144 divisors (see below), whose sum is σ = 699342336. Its totient is φ = 66795520.

The previous prime is 230638831. The next prime is 230638867. The reversal of 230638848 is 848836032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193711 + ... + 194897.

It is an arithmetic number, because the mean of its divisors is an integer number (4856544).

Almost surely, 2230638848 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 230638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349671168).

230638848 is an abundant number, since it is smaller than the sum of its proper divisors (468703488).

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

230638848 is a wasteful number, since it uses less digits than its factorization.

230638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

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

The square root of 230638848 is about 15186.7984776252. The cubic root of 230638848 is about 613.2593147391.

The spelling of 230638848 in words is "two hundred thirty million, six hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1104 1187 1408 1472 1518 2024 2112 2208 2374 2816 2944 3036 3561 4048 4224 4416 4748 5888 6072 7122 8096 8448 8832 9496 12144 13057 14244 16192 17664 18992 24288 26114 27301 28488 32384 37984 39171 48576 52228 54602 56976 64768 75968 78342 81903 97152 104456 109204 113952 151936 156684 163806 194304 208912 218408 227904 300311 303872 313368 327612 417824 436816 455808 600622 626736 655224 835648 873632 900933 911616 1201244 1253472 1310448 1671296 1747264 1801866 2402488 2506944 2620896 3342592 3494528 3603732 4804976 5013888 5241792 6989056 7207464 9609952 10027776 10483584 14414928 19219904 20967168 28829856 38439808 57659712 76879616 115319424 230638848