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2290102110 = 2325195922699
BaseRepresentation
bin1000100010000000…
…0010111101011110
312220121020020111200
42020200002331132
514142231231420
61015124500330
7110515355352
oct21040027536
95817206450
102290102110
11a7578067a
1253ab4a6a6
132a65bac0a
1417a213462
15d60b8b90
hex88802f5e

2290102110 has 96 divisors (see below), whose sum is σ = 6374160000. Its totient is φ = 568721088.

The previous prime is 2290102097. The next prime is 2290102187. The reversal of 2290102110 is 112010922.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 89541 + ... + 112239.

It is an arithmetic number, because the mean of its divisors is an integer number (66397500).

Almost surely, 22290102110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187080000).

2290102110 is an abundant number, since it is smaller than the sum of its proper divisors (4084057890).

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

2290102110 is a wasteful number, since it uses less digits than its factorization.

2290102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22790 (or 22787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2290102110 is about 47855.0113363271. The cubic root of 2290102110 is about 1318.1098809025.

The spelling of 2290102110 in words is "two billion, two hundred ninety million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 59 90 95 114 118 171 177 190 285 295 342 354 531 570 590 855 885 1062 1121 1710 1770 2242 2655 3363 5310 5605 6726 10089 11210 16815 20178 22699 33630 45398 50445 68097 100890 113495 136194 204291 226990 340485 408582 431281 680970 862562 1021455 1293843 1339241 2042910 2156405 2587686 2678482 3881529 4017723 4312810 6469215 6696205 7763058 8035446 12053169 12938430 13392410 19407645 20088615 24106338 25445579 38815290 40177230 50891158 60265845 76336737 120531690 127227895 152673474 229010211 254455790 381683685 458020422 763367370 1145051055 2290102110