Search a number
-
+
232774425 = 33521341647
BaseRepresentation
bin11011101111111…
…01101100011001
3121020000011111000
431313331230121
5434042240200
635033055213
75524356432
oct1567755431
9536004430
10232774425
1110a438964
1265b57509
13392c1060
1422cb4489
1515680300
hexddfdb19

232774425 has 96 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 111628800.

The previous prime is 232774403. The next prime is 232774459. The reversal of 232774425 is 524477232.

It is a happy number.

It is not a de Polignac number, because 232774425 - 25 = 232774393 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232774425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359452 + ... + 360098.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2232774425 is an apocalyptic number.

232774425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232774425 is an abundant number, since it is smaller than the sum of its proper divisors (239695335).

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

232774425 is a wasteful number, since it uses less digits than its factorization.

232774425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 232774425 is about 15256.9467784351. The cubic root of 232774425 is about 615.1463066547.

The spelling of 232774425 in words is "two hundred thirty-two million, seven hundred seventy-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 41 45 65 75 117 123 135 195 205 225 325 351 369 533 585 615 647 675 975 1025 1107 1599 1755 1845 1941 2665 2925 3075 3235 4797 5535 5823 7995 8411 8775 9225 9705 13325 14391 16175 17469 23985 25233 26527 27675 29115 39975 42055 48525 71955 75699 79581 87345 119925 126165 132635 145575 210275 227097 238743 344851 359775 378495 397905 436725 630825 663175 716229 1034553 1135485 1193715 1724255 1892475 1989525 3103659 3581145 5172765 5677425 5968575 8621275 9310977 15518295 17905725 25863825 46554885 77591475 232774425