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2230810036 = 2271329233907
BaseRepresentation
bin1000010011110111…
…0111010110110100
312202110122220001221
42010331313112310
514032041410121
61005210000124
7106165400230
oct20475672664
95673586057
102230810036
11a45263664
12523116044
1329722b250
141723bb5c0
15d0ca5b41
hex84f775b4

2230810036 has 96 divisors (see below), whose sum is σ = 4997341440. Its totient is φ = 847494144.

The previous prime is 2230809983. The next prime is 2230810061. The reversal of 2230810036 is 6300180322.

It is a super-3 number, since 3×22308100363 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459095 + ... + 2460001.

It is an arithmetic number, because the mean of its divisors is an integer number (52055640).

Almost surely, 22230810036 is an apocalyptic number.

2230810036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230810036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498670720).

2230810036 is an abundant number, since it is smaller than the sum of its proper divisors (2766531404).

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

2230810036 is a wasteful number, since it uses less digits than its factorization.

2230810036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2230810036 is about 47231.4517668047. The cubic root of 2230810036 is about 1306.6347273129.

Adding to 2230810036 its reverse (6300180322), we get a palindrome (8530990358).

The spelling of 2230810036 in words is "two billion, two hundred thirty million, eight hundred ten thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 233 364 377 406 466 754 812 907 932 1508 1631 1814 2639 3029 3262 3628 5278 6058 6349 6524 6757 10556 11791 12116 12698 13514 21203 23582 25396 26303 27028 42406 47164 47299 52606 82537 84812 87841 94598 105212 165074 175682 184121 189196 211331 330148 341939 351364 368242 422662 614887 683878 736484 845324 1229774 1367756 1479317 2393573 2459548 2747303 2958634 4787146 5494606 5917268 6128599 9574292 10989212 12257198 19231121 24514396 38462242 42900193 76924484 79671787 85800386 159343574 171600772 318687148 557702509 1115405018 2230810036