Search a number
-
+
230630652456 = 233172361340093
BaseRepresentation
bin1101011011001010101…
…0000111101000101000
3211001022001021001101220
43112302222013220220
512234312421334311
6253541131142040
722443146125521
oct3266252075050
9731261231356
10230630652456
118989aa99806
12388458a4920
1318996252ab9
14b23c1b1848
155eec623206
hex35b2a87a28

230630652456 has 128 divisors (see below), whose sum is σ = 638091198720. Its totient is φ = 69094232064.

The previous prime is 230630652409. The next prime is 230630652463. The reversal of 230630652456 is 654256036032.

It is a super-3 number, since 3×2306306524563 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5732346 + ... + 5772438.

It is an arithmetic number, because the mean of its divisors is an integer number (4985087490).

Almost surely, 2230630652456 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 230630652456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319045599360).

230630652456 is an abundant number, since it is smaller than the sum of its proper divisors (407460546264).

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

230630652456 is a wasteful number, since it uses less digits than its factorization.

230630652456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40755 (or 40751 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 230630652456 its reverse (654256036032), we get a palindrome (884886688488).

The spelling of 230630652456 in words is "two hundred thirty billion, six hundred thirty million, six hundred fifty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 613 782 1173 1226 1564 1839 2346 2452 3128 3678 4692 4904 7356 9384 10421 14099 14712 20842 28198 31263 40093 41684 42297 56396 62526 80186 83368 84594 112792 120279 125052 160372 169188 239683 240558 250104 320744 338376 479366 481116 681581 719049 922139 958732 962232 1363162 1438098 1844278 1917464 2044743 2726324 2766417 2876196 3688556 4089486 5452648 5532834 5752392 7377112 8178972 11065668 15676363 16357944 22131336 24577009 31352726 47029089 49154018 62705452 73731027 94058178 98308036 125410904 147462054 188116356 196616072 294924108 376232712 417809153 565271207 589848216 835618306 1130542414 1253427459 1671236612 1695813621 2261084828 2506854918 3342473224 3391627242 4522169656 5013709836 6783254484 9609610519 10027419672 13566508968 19219221038 28828831557 38438442076 57657663114 76876884152 115315326228 230630652456