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2245225456325 = 52186165817333
BaseRepresentation
bin100000101011000001110…
…111011010001011000101
321221122022121210202110102
4200223001313122023011
5243241210204100300
64435235313333445
7321132531330305
oct40530167321305
97848277722412
102245225456325
11796216267775
12303181567285
131339543c2797
147a95312b605
153d60ba770d5
hex20ac1dda2c5

2245225456325 has 24 divisors (see below), whose sum is σ = 2786378780136. Its totient is φ = 1794697632000.

The previous prime is 2245225456301. The next prime is 2245225456387. The reversal of 2245225456325 is 5236545225422.

It can be written as a sum of positive squares in 12 ways, for example, as 2179951849156 + 65273607169 = 1476466^2 + 255487^2 .

It is not a de Polignac number, because 2245225456325 - 26 = 2245225456261 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2245225456325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306177359 + ... + 306184691.

It is an arithmetic number, because the mean of its divisors is an integer number (116099115839).

Almost surely, 22245225456325 is an apocalyptic number.

2245225456325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2245225456325 is a deficient number, since it is larger than the sum of its proper divisors (541153323811).

2245225456325 is a wasteful number, since it uses less digits than its factorization.

2245225456325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15780 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 47.

The spelling of 2245225456325 in words is "two trillion, two hundred forty-five billion, two hundred twenty-five million, four hundred fifty-six thousand, three hundred twenty-five".

Divisors: 1 5 25 1861 6581 7333 9305 32905 36665 46525 164525 183325 12247241 13646713 48258473 61236205 68233565 241292365 306181025 341167825 1206461825 89809018253 449045091265 2245225456325