Search a number
-
+
2256406325 = 52597731979
BaseRepresentation
bin1000011001111110…
…0000011100110101
312211020211022120122
42012133200130311
514110120000300
61011522341325
7106626065045
oct20637403465
95736738518
102256406325
11a58756518
1252b7ba845
1329c620994
14175961725
15d315ec85
hex867e0735

2256406325 has 24 divisors (see below), whose sum is σ = 2850487200. Its totient is φ = 1771338560.

The previous prime is 2256406319. The next prime is 2256406349. The reversal of 2256406325 is 5236046522.

2256406325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256406325 - 28 = 2256406069 is a prime.

It is a congruent number.

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, 1139186 + ... + 1141164.

It is an arithmetic number, because the mean of its divisors is an integer number (118770300).

Almost surely, 22256406325 is an apocalyptic number.

2256406325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256406325 is a deficient number, since it is larger than the sum of its proper divisors (594080875).

2256406325 is a wasteful number, since it uses less digits than its factorization.

2256406325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 2256406325 is about 47501.6454978141. The cubic root of 2256406325 is about 1311.6131720507.

The spelling of 2256406325 in words is "two billion, two hundred fifty-six million, four hundred six thousand, three hundred twenty-five".

Divisors: 1 5 25 59 295 773 1475 1979 3865 9895 19325 45607 49475 116761 228035 583805 1140175 1529767 2919025 7648835 38244175 90256253 451281265 2256406325