Search a number
-
+
25022544228 = 2232111953131479
BaseRepresentation
bin10111010011011101…
…011011100101100100
32101120212022221200100
4113103131123211210
5402221232403403
615254543544100
71544040054663
oct272335334544
971525287610
1025022544228
11a680634920
124a23bbb030
13248a0ca9b6
1412d5374dda
159b6b772a3
hex5d375b964

25022544228 has 288 divisors, whose sum is σ = 74724249600. Its totient is φ = 6979564800.

The previous prime is 25022544193. The next prime is 25022544251. The reversal of 25022544228 is 82244522052.

25022544228 is a `hidden beast` number, since 2 + 5 + 0 + 225 + 4 + 422 + 8 = 666.

It is a super-2 number, since 2×250225442282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25022544192 and 25022544201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52238893 + ... + 52239371.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 225022544228 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 25022544228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362124800).

25022544228 is an abundant number, since it is smaller than the sum of its proper divisors (49701705372).

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

25022544228 is a wasteful number, since it uses less digits than its factorization.

25022544228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 25022544228 in words is "twenty-five billion, twenty-two million, five hundred forty-four thousand, two hundred twenty-eight".