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20225072 = 247892029
BaseRepresentation
bin100110100100…
…1110000110000
31102001112120202
41031021300300
520134200242
62001254332
7333624140
oct115116060
942045522
1020225072
111046443a
1269343a8
1342619ca
142986920
151b97932
hex1349c30

20225072 has 40 divisors (see below), whose sum is σ = 45309600. Its totient is φ = 8566272.

The previous prime is 20225071. The next prime is 20225077. The reversal of 20225072 is 27052202.

20225072 = T308 + T309 + ... + T531.

It is not an unprimeable number, because it can be changed into a prime (20225071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8954 + ... + 10982.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 220225072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654800).

20225072 is an abundant number, since it is smaller than the sum of its proper divisors (25084528).

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

20225072 is a wasteful number, since it uses less digits than its factorization.

20225072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 20225072 is about 4497.2293692895. The cubic root of 20225072 is about 272.4561981051.

Adding to 20225072 its reverse (27052202), we get a palindrome (47277274).

The spelling of 20225072 in words is "twenty million, two hundred twenty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 623 712 1246 1424 2029 2492 4058 4984 8116 9968 14203 16232 28406 32464 56812 113624 180581 227248 361162 722324 1264067 1444648 2528134 2889296 5056268 10112536 20225072