Search a number
-
+
425322198 = 23378771283
BaseRepresentation
bin11001010110011…
…110011011010110
31002122022121101000
4121112132123112
51332340302243
6110112044130
713353115260
oct3126363326
91078277330
10425322198
111a90a0954
12ba533646
136a169352
14406b6b30
15275165d3
hex1959e6d6

425322198 has 64 divisors (see below), whose sum is σ = 1082257920. Its totient is φ = 121287456.

The previous prime is 425322193. The next prime is 425322199. The reversal of 425322198 is 891223524.

It is a happy number.

425322198 is a `hidden beast` number, since 425 + 3 + 221 + 9 + 8 = 666.

It is a super-2 number, since 2×4253221982 = 361797944223102408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425322193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330865 + ... + 332147.

It is an arithmetic number, because the mean of its divisors is an integer number (16910280).

Almost surely, 2425322198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425322198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541128960).

425322198 is an abundant number, since it is smaller than the sum of its proper divisors (656935722).

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

425322198 is a wasteful number, since it uses less digits than its factorization.

425322198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 425322198 is about 20623.3410969222. The cubic root of 425322198 is about 752.0372451656.

The spelling of 425322198 in words is "four hundred twenty-five million, three hundred twenty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 877 1283 1754 2566 2631 3849 5262 6139 7698 7893 8981 11547 12278 15786 17962 18417 23094 23679 26943 34641 36834 47358 53886 55251 69282 80829 110502 161658 165753 242487 331506 484974 1125191 2250382 3375573 6751146 7876337 10126719 15752674 20253438 23629011 30380157 47258022 60760314 70887033 141774066 212661099 425322198