Search a number
-
+
230536845252 = 22347293505091
BaseRepresentation
bin1101011010110100010…
…0010001011111000100
3211001001111202011010000
43112231010101133010
512234114413022002
6253523540401300
722440626565240
oct3265504213704
9731044664100
10230536845252
1189852047a9a
123881a3a6230
131897c999c8c
14b22d953420
155ee429361c
hex35ad1117c4

230536845252 has 120 divisors (see below), whose sum is σ = 712515101760. Its totient is φ = 63596352960.

The previous prime is 230536845233. The next prime is 230536845257. The reversal of 230536845252 is 252548635032.

230536845252 is a `hidden beast` number, since 2 + 30 + 5 + 368 + 4 + 5 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230536845198 and 230536845207.

It is not an unprimeable number, because it can be changed into a prime (230536845257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1686774 + ... + 1818317.

It is an arithmetic number, because the mean of its divisors is an integer number (5937625848).

Almost surely, 2230536845252 is an apocalyptic number.

It is an amenable number.

230536845252 is an abundant number, since it is smaller than the sum of its proper divisors (481978256508).

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

230536845252 is a wasteful number, since it uses less digits than its factorization.

230536845252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505143 (or 3505132 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 230536845252 in words is "two hundred thirty billion, five hundred thirty-six million, eight hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 10962 16443 21924 32886 65772 3505091 7010182 10515273 14020364 21030546 24535637 31545819 42061092 49071274 63091638 73606911 94637457 98142548 101647639 126183276 147213822 189274914 203295278 220820733 283912371 294427644 304942917 378549828 406590556 441641466 567824742 609885834 662462199 711533473 883282932 914828751 1135649484 1219771668 1324924398 1423066946 1829657502 1987386597 2134600419 2649848796 2744486253 2846133892 3659315004 3974773194 4269200838 5488972506 6403801257 7949546388 8233458759 8538401676 10977945012 12807602514 16466917518 19211403771 25615205028 32933835036 38422807542 57634211313 76845615084 115268422626 230536845252