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2245753212 = 223233128467
BaseRepresentation
bin1000010111011011…
…0111100101111100
312210111210002020220
42011312313211330
514044403100322
61010502141340
7106436405313
oct20566674574
95714702226
102245753212
11a5273a69a
12528121850
1329a360a71
1417438b27a
15d225855c
hex85db797c

2245753212 has 72 divisors (see below), whose sum is σ = 5650662528. Its totient is φ = 692857440.

The previous prime is 2245753207. The next prime is 2245753231. The reversal of 2245753212 is 2123575422.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 261003 + ... + 269469.

It is an arithmetic number, because the mean of its divisors is an integer number (78481424).

Almost surely, 22245753212 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 2245753212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825331264).

2245753212 is an abundant number, since it is smaller than the sum of its proper divisors (3404909316).

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

2245753212 is a wasteful number, since it uses less digits than its factorization.

2245753212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8526 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 2245753212 is about 47389.3786834139. The cubic root of 2245753212 is about 1309.5457531956.

The spelling of 2245753212 in words is "two billion, two hundred forty-five million, seven hundred fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 961 1426 1922 2139 2852 2883 3844 4278 5766 8467 8556 11532 16934 22103 25401 33868 44206 50802 66309 88412 101604 132618 194741 262477 265236 389482 524954 584223 778964 787431 1049908 1168446 1574862 2336892 3149724 6036971 8136787 12073942 16273574 18110913 24147884 24410361 32547148 36221826 48820722 72443652 97641444 187146101 374292202 561438303 748584404 1122876606 2245753212