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264632250 = 235323329
BaseRepresentation
bin11111100010111…
…11011110111010
3200102221201012110
433301133132322
51020221213000
642131553150
76362223411
oct1761373672
9612851173
10264632250
11126418143
127475b7b6
1342a9683c
1427208478
1518374850
hexfc5f7ba

264632250 has 128 divisors (see below), whose sum is σ = 714355200. Its totient is φ = 65172800.

The previous prime is 264632243. The next prime is 264632257. The reversal of 264632250 is 52236462.

264632250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264632243) and next prime (264632257).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (264632257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9125236 + ... + 9125264.

It is an arithmetic number, because the mean of its divisors is an integer number (5580900).

Almost surely, 2264632250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264632250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357177600).

264632250 is an abundant number, since it is smaller than the sum of its proper divisors (449722950).

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

264632250 is an equidigital number, since it uses as much as digits as its factorization.

264632250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 264632250 is about 16267.5213231764. The cubic root of 264632250 is about 642.0185697407.

The spelling of 264632250 in words is "two hundred sixty-four million, six hundred thirty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 29 30 46 50 58 69 75 87 115 125 138 145 150 174 230 250 290 345 375 435 529 575 667 690 725 750 870 1058 1150 1334 1450 1587 1725 2001 2175 2645 2875 3174 3335 3450 3625 4002 4350 5290 5750 6670 7250 7935 8625 10005 10875 12167 13225 15341 15870 16675 17250 20010 21750 24334 26450 30682 33350 36501 39675 46023 50025 60835 66125 73002 76705 79350 83375 92046 100050 121670 132250 153410 166750 182505 198375 230115 250125 304175 352843 365010 383525 396750 460230 500250 608350 705686 767050 912525 1058529 1150575 1520875 1764215 1825050 1917625 2117058 2301150 3041750 3528430 3835250 4562625 5292645 5752875 8821075 9125250 10585290 11505750 17642150 26463225 44105375 52926450 88210750 132316125 264632250