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23125284 = 22337132181
BaseRepresentation
bin101100000110…
…1110100100100
31121111212221000
41120031310210
521410002114
62143353300
7400363440
oct130156444
947455830
1023125284
1112065406
1278b2830
134a38b00
1430dd820
15206be09
hex160dd24

23125284 has 144 divisors (see below), whose sum is σ = 74605440. Its totient is φ = 6065280.

The previous prime is 23125279. The next prime is 23125301. The reversal of 23125284 is 48252132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127674 + ... + 127854.

Almost surely, 223125284 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 23125284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37302720).

23125284 is an abundant number, since it is smaller than the sum of its proper divisors (51480156).

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

23125284 is a wasteful number, since it uses less digits than its factorization.

23125284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 23125284 is about 4808.8755442411. The cubic root of 23125284 is about 284.9021270577.

It can be divided in two parts, 23125 and 284, that added together give a square (23409 = 1532).

The spelling of 23125284 in words is "twenty-three million, one hundred twenty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 181 182 189 234 252 273 338 351 362 364 378 468 507 543 546 676 702 724 756 819 1014 1086 1092 1183 1267 1404 1521 1629 1638 2028 2172 2353 2366 2457 2534 3042 3258 3276 3549 3801 4563 4706 4732 4887 4914 5068 6084 6516 7059 7098 7602 9126 9412 9774 9828 10647 11403 14118 14196 15204 16471 18252 19548 21177 21294 22806 28236 30589 31941 32942 34209 42354 42588 45612 49413 61178 63531 63882 65884 68418 84708 91767 98826 122356 127062 127764 136836 148239 183534 197652 214123 254124 275301 296478 367068 428246 444717 550602 592956 642369 825903 856492 889434 1101204 1284738 1651806 1778868 1927107 2569476 3303612 3854214 5781321 7708428 11562642 23125284