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412225452 = 223217739227
BaseRepresentation
bin11000100100100…
…000111110101100
31001201200020000100
4120210200332230
51321012203302
6104523231100
713133600322
oct3044407654
91051606010
10412225452
111a17660a1
12b6078490
13675320b2
143ca67d12
15262cad1c
hex18920fac

412225452 has 72 divisors (see below), whose sum is σ = 1118544336. Its totient is φ = 127540224.

The previous prime is 412225423. The next prime is 412225453. The reversal of 412225452 is 254522214.

It is not an unprimeable number, because it can be changed into a prime (412225453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40063 + ... + 49289.

It is an arithmetic number, because the mean of its divisors is an integer number (15535338).

Almost surely, 2412225452 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 412225452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559272168).

412225452 is an abundant number, since it is smaller than the sum of its proper divisors (706318884).

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

412225452 is a wasteful number, since it uses less digits than its factorization.

412225452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9322 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 412225452 is about 20303.3359820498. The cubic root of 412225452 is about 744.2375888792.

Adding to 412225452 its reverse (254522214), we get a palindrome (666747666).

The spelling of 412225452 in words is "four hundred twelve million, two hundred twenty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 9227 11169 14892 18454 22338 27681 36908 44676 55362 83043 110724 156859 166086 313718 332172 470577 627436 673571 941154 1347142 1411731 1882308 2020713 2694284 2823462 4041426 5646924 6062139 8082852 11450707 12124278 22901414 24248556 34352121 45802828 68704242 103056363 137408484 206112726 412225452