Search a number
-
+
225390620 = 225713592099
BaseRepresentation
bin11010110111100…
…11000000011100
3120201010000210202
431123303000130
5430144444440
634210523032
75404534340
oct1533630034
9521100722
10225390620
11106255344
1263596478
1337907240
1421d11620
1514bc2615
hexd6f301c

225390620 has 96 divisors (see below), whose sum is σ = 592704000. Its totient is φ = 70089984.

The previous prime is 225390617. The next prime is 225390629. The reversal of 225390620 is 26093522.

225390620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225390629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106331 + ... + 108429.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2225390620 is an apocalyptic number.

225390620 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 225390620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

225390620 is an abundant number, since it is smaller than the sum of its proper divisors (367313380).

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

225390620 is a wasteful number, since it uses less digits than its factorization.

225390620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 225390620 is about 15013.0150203082. The cubic root of 225390620 is about 608.5719708439.

The spelling of 225390620 in words is "two hundred twenty-five million, three hundred ninety thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 236 260 295 364 413 455 590 767 826 910 1180 1534 1652 1820 2065 2099 3068 3835 4130 4198 5369 7670 8260 8396 10495 10738 14693 15340 20990 21476 26845 27287 29386 41980 53690 54574 58772 73465 107380 109148 123841 136435 146930 191009 247682 272870 293860 382018 495364 545740 619205 764036 866887 955045 1238410 1609933 1733774 1910090 2476820 3219866 3467548 3820180 4334435 6439732 8049665 8668870 11269531 16099330 17337740 22539062 32198660 45078124 56347655 112695310 225390620