Search a number
-
+
225139400 = 23524347557
BaseRepresentation
bin11010110101101…
…01101011001000
3120200122021012022
431122311223020
5430113430100
634201304012
75402440043
oct1532655310
9520567168
10225139400
111060a3622
1263495008
1337849aa5
1421c87c5a
1514b72e85
hexd6b5ac8

225139400 has 96 divisors (see below), whose sum is σ = 548000640. Its totient is φ = 85935360.

The previous prime is 225139333. The next prime is 225139429. The reversal of 225139400 is 4931522.

It is a self number, because there is not a number n which added to its sum of digits gives 225139400.

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, 403922 + ... + 404478.

It is an arithmetic number, because the mean of its divisors is an integer number (5708340).

Almost surely, 2225139400 is an apocalyptic number.

225139400 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 225139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

225139400 is an abundant number, since it is smaller than the sum of its proper divisors (322861240).

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

225139400 is a wasteful number, since it uses less digits than its factorization.

225139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 225139400 is about 15004.6459471725. The cubic root of 225139400 is about 608.3457823603.

It can be divided in two parts, 22513 and 9400, that added together give a palindrome (31913).

The spelling of 225139400 in words is "two hundred twenty-five million, one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 172 188 200 215 235 344 376 430 470 557 860 940 1075 1114 1175 1720 1880 2021 2150 2228 2350 2785 4042 4300 4456 4700 5570 8084 8600 9400 10105 11140 13925 16168 20210 22280 23951 26179 27850 40420 47902 50525 52358 55700 80840 95804 101050 104716 111400 119755 130895 191608 202100 209432 239510 261790 404200 479020 523580 598775 654475 958040 1047160 1125697 1197550 1308950 2251394 2395100 2617900 4502788 4790200 5235800 5628485 9005576 11256970 22513940 28142425 45027880 56284850 112569700 225139400