Search a number
-
+
230806546416 = 2434374813283
BaseRepresentation
bin1101011011110100100…
…1000110011111110000
3211001202022020101120000
43112331021012133300
512240142433441131
6254010413150000
722450413163065
oct3267511063760
9731668211500
10230806546416
1189980307516
123889478b300
13189c3819a74
14b2576bac6c
15600ccb9ce6
hex35bd2467f0

230806546416 has 100 divisors (see below), whose sum is σ = 686075874792. Its totient is φ = 74856161664.

The previous prime is 230806546393. The next prime is 230806546427. The reversal of 230806546416 is 614645608032.

230806546416 is a `hidden beast` number, since 23 + 0 + 80 + 6 + 546 + 4 + 1 + 6 = 666.

230806546416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2358690 + ... + 2454593.

Almost surely, 2230806546416 is an apocalyptic number.

It is an amenable number.

230806546416 is an abundant number, since it is smaller than the sum of its proper divisors (455269328376).

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

230806546416 is a wasteful number, since it uses less digits than its factorization.

230806546416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813340 (or 4813325 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 230806546416 in words is "two hundred thirty billion, eight hundred six million, five hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 47952 4813283 9626566 14439849 19253132 28879698 38506264 43319547 57759396 77012528 86639094 115518792 129958641 173278188 178091471 231037584 259917282 346556376 356182942 389875923 519834564 534274413 693112752 712365884 779751846 1039669128 1068548826 1424731768 1559503692 1602823239 2079338256 2137097652 2849463536 3119007384 3205646478 4274195304 4808469717 6238014768 6411292956 8548390608 9616939434 12822585912 14425409151 19233878868 25645171824 28850818302 38467757736 57701636604 76935515472 115403273208 230806546416