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2255745636 = 2232479711373
BaseRepresentation
bin1000011001110011…
…1111001001100100
312211012120202021200
42012130333021210
514104432330021
61011500242500
7106620343614
oct20634771144
95735522250
102255745636
11a583450a1
1252b540430
1329c44c041
1417582ca44
15d307e126
hex8673f264

2255745636 has 72 divisors (see below), whose sum is σ = 5833586304. Its totient is φ = 734623680.

The previous prime is 2255745619. The next prime is 2255745707. The reversal of 2255745636 is 6365475522.

2255745636 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 7 + 4 + 5 + 636 = 666.

2255745636 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2255745591 and 2255745600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642246 + ... + 1643618.

It is an arithmetic number, because the mean of its divisors is an integer number (81022032).

Almost surely, 22255745636 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 2255745636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916793152).

2255745636 is an abundant number, since it is smaller than the sum of its proper divisors (3577840668).

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

2255745636 is a wasteful number, since it uses less digits than its factorization.

2255745636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2396 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 2255745636 is about 47494.6906085301. The cubic root of 2255745636 is about 1311.4851435453.

The spelling of 2255745636 in words is "two billion, two hundred fifty-five million, seven hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 971 1373 1692 1942 2746 2913 3884 4119 5492 5826 8238 8739 11652 12357 16476 17478 24714 34956 45637 49428 64531 91274 129062 136911 182548 193593 258124 273822 387186 410733 547644 580779 774372 821466 1161558 1333183 1642932 2323116 2666366 3999549 5332732 7999098 11998647 15998196 23997294 47994588 62659601 125319202 187978803 250638404 375957606 563936409 751915212 1127872818 2255745636