Search a number
-
+
232505252115150 = 235271072069472649
BaseRepresentation
bin110100110111011001011000…
…111101011111001011001110
31010111020021200210011110210110
4310313121120331133023032
5220433331224020141100
62142255234400020450
766654643615440510
oct6467313075371316
91114207623143713
10232505252115150
11680a0a18468513
12220b10aa601726
139c971c72421b1
14415b458411bb0
151bd2eddad1250
hexd37658f5f2ce

232505252115150 has 96 divisors (see below), whose sum is σ = 665145065491200. Its totient is φ = 52647384165120.

The previous prime is 232505252115127. The next prime is 232505252115173. The reversal of 232505252115150 is 51511252505232.

It is an interprime number because it is at equal distance from previous prime (232505252115127) and next prime (232505252115173).

It is a super-2 number, since 2×2325052521151502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232505252115099 and 232505252115108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034623975 + ... + 1034848674.

It is an arithmetic number, because the mean of its divisors is an integer number (6928594432200).

Almost surely, 2232505252115150 is an apocalyptic number.

232505252115150 is an abundant number, since it is smaller than the sum of its proper divisors (432639813376050).

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

232505252115150 is a wasteful number, since it uses less digits than its factorization.

232505252115150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069472778 (or 2069472773 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 232505252115150 in words is "two hundred thirty-two trillion, five hundred five billion, two hundred fifty-two million, one hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 107 150 175 210 214 321 350 525 535 642 749 1050 1070 1498 1605 2247 2675 3210 3745 4494 5350 7490 8025 11235 16050 18725 22470 37450 56175 112350 2069472649 4138945298 6208417947 10347363245 12416835894 14486308543 20694726490 28972617086 31042089735 43458925629 51736816225 62084179470 72431542715 86917851258 103473632450 144863085430 155210448675 217294628145 221433573443 310420897350 362157713575 434589256290 442867146886 664300720329 724315427150 1086473140725 1107167867215 1328601440658 1550035014101 2172946281450 2214335734430 3100070028202 3321503601645 4650105042303 5535839336075 6643007203290 7750175070505 9300210084606 11071678672150 15500350141010 16607518008225 23250525211515 33215036016450 38750875352525 46501050423030 77501750705050 116252626057575 232505252115150