Search a number
-
+
16870113225 = 32527212372
BaseRepresentation
bin11111011011000100…
…10111111111001001
31121112201002112202100
433231202113333021
5234022222110400
611430001024013
71135025411400
oct175542277711
947481075670
1016870113225
117177814839
123329925009
13178b117324
14b6074c637
1568b0bc100
hex3ed897fc9

16870113225 has 81 divisors (see below), whose sum is σ = 35177950197. Its totient is φ = 7705817280.

The previous prime is 16870113203. The next prime is 16870113241. The reversal of 16870113225 is 52231107861.

The square root of 16870113225 is 129885.

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 266244489 + 16603868736 = 16317^2 + 128856^2 .

It is not a de Polignac number, because 16870113225 - 225 = 16836558793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16870113225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13637307 + ... + 13638543.

Almost surely, 216870113225 is an apocalyptic number.

16870113225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16870113225 is the 129885-th square number.

16870113225 is the 64943-rd centered octagonal number.

It is an amenable number.

16870113225 is an abundant number, since it is smaller than the sum of its proper divisors (18307836972).

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

16870113225 is an equidigital number, since it uses as much as digits as its factorization.

16870113225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 16870113225 by its sum of digits (36), we get a square (607324076100 = 7793102).

The spelling of 16870113225 in words is "sixteen billion, eight hundred seventy million, one hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1237 1575 2205 3675 3711 6185 8659 11025 11133 18555 25977 30925 43295 55665 60613 77931 92775 129885 181839 216475 278325 303065 389655 545517 649425 909195 1515325 1530169 1948275 2727585 4545975 4590507 7650845 10711183 13637925 13771521 22952535 32133549 38254225 53555915 68857605 74978281 96400647 114762675 160667745 224934843 267779575 344288025 374891405 482003235 674804529 803338725 1124674215 1874457025 2410016175 3374022645 5623371075 16870113225