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2259100900 = 225274972
BaseRepresentation
bin1000011010100111…
…0010010011100100
312211102220012211201
42012221302103210
514111312212100
61012100212244
7106661020000
oct20651622344
95742805751
102259100900
11a5a226a41
1253069a084
132a00552c4
14176063700
15d34e336a
hex86a724e4

2259100900 has 135 divisors (see below), whose sum is σ = 5778516219. Its totient is φ = 766563840.

The previous prime is 2259100867. The next prime is 2259100903. The reversal of 2259100900 is 90019522.

The square root of 2259100900 is 47530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83064996 + 2176035904 = 9114^2 + 46648^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2259100903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23289652 + ... + 23289748.

Almost surely, 22259100900 is an apocalyptic number.

2259100900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2259100900 is the 47530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259100900

2259100900 is an abundant number, since it is smaller than the sum of its proper divisors (3519415319).

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

2259100900 is an frugal number, since it uses more digits than its factorization.

2259100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 2259100900 is about 1312.1350689133.

The spelling of 2259100900 in words is "two billion, two hundred fifty-nine million, one hundred thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 97 98 100 140 175 194 196 245 343 350 388 485 490 679 686 700 970 980 1225 1358 1372 1715 1940 2401 2425 2450 2716 3395 3430 4753 4802 4850 4900 6790 6860 8575 9409 9506 9604 9700 12005 13580 16975 17150 18818 19012 23765 24010 33271 33950 34300 37636 47045 47530 48020 60025 65863 66542 67900 94090 95060 118825 120050 131726 133084 166355 188180 232897 235225 237650 240100 263452 329315 332710 461041 465794 470450 475300 658630 665420 831775 922082 931588 940900 1164485 1317260 1646575 1663550 1844164 2305205 2328970 3227287 3293150 3327100 4610410 4657940 5822425 6454574 6586300 9220820 11526025 11644850 12909148 16136435 22591009 23052050 23289700 32272870 45182018 46104100 64545740 80682175 90364036 112955045 161364350 225910090 322728700 451820180 564775225 1129550450 2259100900