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225612940 = 22577920399
BaseRepresentation
bin11010111001010…
…01010010001100
3120201112022202211
431130221102030
5430224103230
634215400204
75406451450
oct1534512214
9521468684
10225612940
11106397383
1263683064
13379844a7
1421d6c660
1514c1842a
hexd72948c

225612940 has 48 divisors (see below), whose sum is σ = 548352000. Its totient is φ = 76370112.

The previous prime is 225612931. The next prime is 225612941. The reversal of 225612940 is 49216522.

It is not an unprimeable number, because it can be changed into a prime (225612941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 861 + ... + 21259.

It is an arithmetic number, because the mean of its divisors is an integer number (11424000).

Almost surely, 2225612940 is an apocalyptic number.

225612940 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 225612940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

225612940 is an abundant number, since it is smaller than the sum of its proper divisors (322739060).

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

225612940 is a wasteful number, since it uses less digits than its factorization.

225612940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494 (or 20492 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 225612940 is about 15020.4174376081. The cubic root of 225612940 is about 608.7719987777.

The spelling of 225612940 in words is "two hundred twenty-five million, six hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 20399 40798 81596 101995 142793 203990 285586 407980 571172 713965 1427930 1611521 2855860 3223042 6446084 8057605 11280647 16115210 22561294 32230420 45122588 56403235 112806470 225612940