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2255268204 = 223373478597
BaseRepresentation
bin1000011001101100…
…1010100101101100
312211011200111101000
42012123022211230
514104322040304
61011442120300
7106613314650
oct20633124554
95734614330
102255268204
11a58049422
1252b350090
1329c312937
14175746a60
15d2ed7939
hex866ca96c

2255268204 has 96 divisors (see below), whose sum is σ = 6702312960. Its totient is φ = 642430656.

The previous prime is 2255268203. The next prime is 2255268209. The reversal of 2255268204 is 4028625522.

2255268204 is a `hidden beast` number, since 22 + 552 + 6 + 82 + 0 + 4 = 666.

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 (2255268203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258034 + ... + 266630.

It is an arithmetic number, because the mean of its divisors is an integer number (69815760).

Almost surely, 22255268204 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 2255268204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351156480).

2255268204 is an abundant number, since it is smaller than the sum of its proper divisors (4447044756).

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

2255268204 is a wasteful number, since it uses less digits than its factorization.

2255268204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2255268204 is about 47489.6641807457. The cubic root of 2255268204 is about 1311.3926110740.

The spelling of 2255268204 in words is "two billion, two hundred fifty-five million, two hundred sixty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 347 378 694 756 1041 1388 2082 2429 3123 4164 4858 6246 7287 8597 9369 9716 12492 14574 17194 18738 21861 25791 29148 34388 37476 43722 51582 60179 65583 77373 87444 103164 120358 131166 154746 180537 232119 240716 262332 309492 361074 464238 541611 722148 928476 1083222 1624833 2166444 2983159 3249666 5966318 6499332 8949477 11932636 17898954 20882113 26848431 35797908 41764226 53696862 62646339 80545293 83528452 107393724 125292678 161090586 187939017 250585356 322181172 375878034 563817051 751756068 1127634102 2255268204