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232748208 = 24337116997
BaseRepresentation
bin11011101111101…
…11010010110000
3121012221211112000
431313313102300
5434040420313
635032334000
75524220130
oct1567672260
9535854460
10232748208
1110a4201a0
1265b44300
13392b2144
1422ca8ac0
1515677673
hexddf74b0

232748208 has 160 divisors (see below), whose sum is σ = 833041920. Its totient is φ = 60445440.

The previous prime is 232748203. The next prime is 232748221. The reversal of 232748208 is 802847232.

It is a super-2 number, since 2×2327482082 = 108343456654422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (232748203) 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 31 ways as a sum of consecutive naturals, for example, 29766 + ... + 36762.

It is an arithmetic number, because the mean of its divisors is an integer number (5206512).

Almost surely, 2232748208 is an apocalyptic number.

232748208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232748208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416520960).

232748208 is an abundant number, since it is smaller than the sum of its proper divisors (600293712).

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

232748208 is a wasteful number, since it uses less digits than its factorization.

232748208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 232748208 is about 15256.0875718514. The cubic root of 232748208 is about 615.1232114826.

The spelling of 232748208 in words is "two hundred thirty-two million, seven hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 6997 8316 11088 13994 16632 20991 27988 33264 41982 48979 55976 62973 76967 83964 97958 111952 125946 146937 153934 167928 188919 195916 230901 251892 293874 307868 335856 377838 391832 440811 461802 503784 538769 587748 615736 692703 755676 783664 881622 923604 1007568 1077538 1175496 1231472 1322433 1385406 1511352 1616307 1763244 1847208 2078109 2155076 2350992 2644866 2770812 3022704 3232614 3526488 3694416 4156218 4310152 4848921 5289732 5541624 6465228 7052976 8312436 8620304 9697842 10579464 11083248 12930456 14546763 16624872 19395684 21158928 25860912 29093526 33249744 38791368 58187052 77582736 116374104 232748208