Search a number
-
+
232058140160 = 2957111177243
BaseRepresentation
bin1101100000011110111…
…1100011011000000000
3211011222112022221101212
43120013233203120000
512300223340441120
6254334523145252
722523421434330
oct3300757433000
9734875287355
10232058140160
118a462852410
1238b83975228
1318b62c06b92
14b3359db0c0
156082ae76c5
hex3607be3600

232058140160 has 160 divisors (see below), whose sum is σ = 693688672512. Its totient is φ = 72329748480.

The previous prime is 232058140159. The next prime is 232058140163. The reversal of 232058140160 is 61041850232.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232058140163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391502 + ... + 785741.

Almost surely, 2232058140160 is an apocalyptic number.

232058140160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232058140160 is an abundant number, since it is smaller than the sum of its proper divisors (461630532352).

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

232058140160 is a wasteful number, since it uses less digits than its factorization.

232058140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177284 (or 1177268 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 232058140160 its reverse (61041850232), we get a palindrome (293099990392).

The spelling of 232058140160 in words is "two hundred thirty-two billion, fifty-eight million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2560 2816 3080 3520 3584 4480 4928 5632 6160 7040 8960 9856 12320 14080 17920 19712 24640 28160 39424 49280 98560 197120 1177243 2354486 4708972 5886215 8240701 9417944 11772430 12949673 16481402 18835888 23544860 25899346 32962804 37671776 41203505 47089720 51798692 64748365 65925608 75343552 82407010 90647711 94179440 103597384 129496730 131851216 150687104 164814020 181295422 188358880 207194768 258993460 263702432 301374208 329628040 362590844 376717760 414389536 453238555 517986920 527404864 602748416 659256080 725181688 753435520 828779072 906477110 1035973840 1054809728 1318512160 1450363376 1506871040 1657558144 1812954220 2071947680 2109619456 2637024320 2900726752 3013742080 3315116288 3625908440 4143895360 4219238912 5274048640 5801453504 6630232576 7251816880 8287790720 10548097280 11602907008 14503633760 16575581440 21096194560 23205814016 29007267520 33151162880 46411628032 58014535040 116029070080 232058140160