Search a number
-
+
225124202200 = 23524164342697
BaseRepresentation
bin1101000110101001110…
…0101011011011011000
3210112002021220101200211
43101222130223123120
512142023243432300
6251230504540504
722156534100632
oct3215234533330
9715067811624
10225124202200
118752481a177
1237769781734
13182c94c1201
14ac78b59a52
155cc8ecc4ba
hex346a72b6d8

225124202200 has 96 divisors (see below), whose sum is σ = 537026409360. Its totient is φ = 87714662400.

The previous prime is 225124202183. The next prime is 225124202279. The reversal of 225124202200 is 2202421522.

225124202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5251252 + ... + 5293948.

Almost surely, 2225124202200 is an apocalyptic number.

225124202200 is a gapful number since it is divisible by the number (20) 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 225124202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268513204680).

225124202200 is an abundant number, since it is smaller than the sum of its proper divisors (311902207160).

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

225124202200 is a wasteful number, since it uses less digits than its factorization.

225124202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43397 (or 43388 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 225124202200 its reverse (2202421522), we get a palindrome (227326623722).

The spelling of 225124202200 in words is "two hundred twenty-five billion, one hundred twenty-four million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 643 820 1025 1286 1640 2050 2572 3215 4100 5144 6430 8200 12860 16075 25720 26363 32150 42697 52726 64300 85394 105452 128600 131815 170788 210904 213485 263630 341576 426970 527260 659075 853940 1054520 1067425 1318150 1707880 1750577 2134850 2636300 3501154 4269700 5272600 7002308 8539400 8752885 14004616 17505770 27454171 35011540 43764425 54908342 70023080 87528850 109816684 137270855 175057700 219633368 274541710 350115400 549083420 686354275 1098166840 1125621011 1372708550 2251242022 2745417100 4502484044 5490834200 5628105055 9004968088 11256210110 22512420220 28140525275 45024840440 56281050550 112562101100 225124202200