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2265045198 = 2313238291523
BaseRepresentation
bin1000011100000001…
…1101100011001110
312211212002012212220
42013000131203032
514114322421243
61012431440210
7110062365213
oct20700354316
95755065786
102265045198
11a62616a89
12532686066
132a1356b40
14176b6db0a
15d3cb9783
hex8701d8ce

2265045198 has 64 divisors (see below), whose sum is σ = 5100157440. Its totient is φ = 665394048.

The previous prime is 2265045191. The next prime is 2265045199. The reversal of 2265045198 is 8915405622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265045191) 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, 1486465 + ... + 1487987.

It is an arithmetic number, because the mean of its divisors is an integer number (79689960).

Almost surely, 22265045198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265045198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550078720).

2265045198 is an abundant number, since it is smaller than the sum of its proper divisors (2835112242).

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

2265045198 is a wasteful number, since it uses less digits than its factorization.

2265045198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2265045198 is about 47592.4909833474. The cubic root of 2265045198 is about 1313.2849202839.

The spelling of 2265045198 in words is "two billion, two hundred sixty-five million, forty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 829 897 1523 1658 1794 2487 3046 4569 4974 9138 10777 19067 19799 21554 32331 35029 38134 39598 57201 59397 64662 70058 105087 114402 118794 210174 247871 455377 495742 743613 910754 1262567 1366131 1487226 2525134 2732262 3787701 7575402 16413371 29039041 32826742 49240113 58078082 87117123 98480226 174234246 377507533 755015066 1132522599 2265045198