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2225763474 = 2311194143291
BaseRepresentation
bin1000010010101010…
…0111010010010010
312202010011111111020
42010222213102102
514024243412344
61004505500310
7106104451224
oct20452472222
95663144436
102225763474
11a42427050
125214a1696
1329618220c
14171866414
15d060a719
hex84aa7492

2225763474 has 64 divisors (see below), whose sum is σ = 5236600320. Its totient is φ = 623376000.

The previous prime is 2225763469. The next prime is 2225763479. The reversal of 2225763474 is 4743675222.

It is an interprime number because it is at equal distance from previous prime (2225763469) and next prime (2225763479).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2225763479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29769 + ... + 73059.

It is an arithmetic number, because the mean of its divisors is an integer number (81821880).

Almost surely, 22225763474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225763474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618300160).

2225763474 is an abundant number, since it is smaller than the sum of its proper divisors (3010836846).

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

2225763474 is a wasteful number, since it uses less digits than its factorization.

2225763474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43367.

The product of its digits is 564480, while the sum is 42.

The square root of 2225763474 is about 47177.9977743863. The cubic root of 2225763474 is about 1305.6486891080.

The spelling of 2225763474 in words is "two billion, two hundred twenty-five million, seven hundred sixty-three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 246 418 451 627 779 902 1254 1353 1558 2337 2706 4674 8569 17138 25707 43291 51414 86582 129873 259746 476201 822529 952402 1428603 1645058 1774931 2467587 2857206 3549862 4935174 5324793 9047819 10649586 18095638 19524241 27143457 33723689 39048482 54286914 58572723 67447378 101171067 117145446 202342134 370960579 741921158 1112881737 2225763474