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232208856 = 23351110859
BaseRepresentation
bin11011101011100…
…11100111011000
3121011221102200000
431311303213120
5433421140411
635013013000
75516512515
oct1565634730
9534842600
10232208856
1110a091a50
1265924160
13391537b9
1422ba830c
15155bc956
hexdd739d8

232208856 has 96 divisors (see below), whose sum is σ = 711547200. Its totient is φ = 70359840.

The previous prime is 232208849. The next prime is 232208869. The reversal of 232208856 is 658802232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232208856.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15955 + ... + 26813.

It is an arithmetic number, because the mean of its divisors is an integer number (7411950).

Almost surely, 2232208856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232208856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355773600).

232208856 is an abundant number, since it is smaller than the sum of its proper divisors (479338344).

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

232208856 is a wasteful number, since it uses less digits than its factorization.

232208856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 232208856 is about 15238.4007034859. The cubic root of 232208856 is about 614.6476982826.

The spelling of 232208856 in words is "two hundred thirty-two million, two hundred eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 10859 21384 21718 32577 43436 65154 86872 97731 119449 130308 195462 238898 260616 293193 358347 390924 477796 586386 716694 781848 879579 955592 1075041 1172772 1433388 1759158 2150082 2345544 2638737 2866776 3225123 3518316 4300164 5277474 6450246 7036632 8600328 9675369 10554948 12900492 19350738 21109896 25800984 29026107 38701476 58052214 77402952 116104428 232208856