Search a number
-
+
230177061675 = 325211414395167
BaseRepresentation
bin1101011001011110011…
…1110011101100101011
3211000010102202020211100
43112113213303230223
512232400311433200
6253424125132443
722426000512441
oct3262747635453
9730112666740
10230177061675
1189687a502a0
12387399ba123
13189232998a2
14b1d7c5ab91
155ec28c5d00
hex35979f3b2b

230177061675 has 144 divisors (see below), whose sum is σ = 461860439040. Its totient is φ = 108609984000.

The previous prime is 230177061671. The next prime is 230177061701. The reversal of 230177061675 is 576160771032.

230177061675 is a `hidden beast` number, since 23 + 0 + 1 + 7 + 7 + 0 + 616 + 7 + 5 = 666.

It is not a de Polignac number, because 230177061675 - 22 = 230177061671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 230177061675.

It is not an unprimeable number, because it can be changed into a prime (230177061671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44544942 + ... + 44550108.

It is an arithmetic number, because the mean of its divisors is an integer number (3207364160).

Almost surely, 2230177061675 is an apocalyptic number.

230177061675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230177061675 is an abundant number, since it is smaller than the sum of its proper divisors (231683377365).

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

230177061675 is a wasteful number, since it uses less digits than its factorization.

230177061675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 230177061675 in words is "two hundred thirty billion, one hundred seventy-seven million, sixty-one thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 205 225 275 369 439 451 495 615 825 1025 1317 1353 1845 2195 2255 2475 3075 3951 4059 4829 5167 6585 6765 9225 10975 11275 14487 15501 17999 19755 20295 24145 25835 32925 33825 43461 46503 53997 56837 72435 77505 89995 98775 101475 120725 129175 161991 170511 197989 211847 217305 232515 269985 284185 362175 387525 449975 511533 593967 635541 809955 852555 989945 1059235 1086525 1162575 1349925 1420925 1781901 1906623 2268313 2330317 2557665 2969835 3177705 4049775 4262775 4949725 5296175 6804939 6990951 8909505 9533115 11341565 11651585 12788325 14849175 15888525 20414817 20972853 24951443 34024695 34954755 44547525 47665575 56707825 58257925 74854329 93000833 102074085 104864265 124757215 170123475 174773775 224562987 279002499 374271645 465004165 510370425 524321325 623786075 837007497 1023009163 1122814935 1395012495 1871358225 2325020825 3069027489 4185037485 5115045815 5614074675 6975062475 9207082467 15345137445 20925187425 25575229075 46035412335 76725687225 230177061675