Search a number
-
+
225405414 = 232131756663
BaseRepresentation
bin11010110111101…
…10100111100110
3120201010210002200
431123312213212
5430200433124
634211115330
75404625433
oct1533664746
9521123080
10225405414
11106265473
12635a2b46
1337910bb0
1421d16b8a
1514bc6bc9
hexd6f69e6

225405414 has 48 divisors (see below), whose sum is σ = 556893792. Its totient is φ = 65274624.

The previous prime is 225405409. The next prime is 225405419. The reversal of 225405414 is 414504522.

It is an interprime number because it is at equal distance from previous prime (225405409) and next prime (225405419).

It is a super-2 number, since 2×2254054142 = 101615201321022792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225405419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24354 + ... + 32309.

It is an arithmetic number, because the mean of its divisors is an integer number (11601954).

Almost surely, 2225405414 is an apocalyptic number.

225405414 is an abundant number, since it is smaller than the sum of its proper divisors (331488378).

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

225405414 is a wasteful number, since it uses less digits than its factorization.

225405414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56701 (or 56698 counting only the distinct ones).

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

The square root of 225405414 is about 15013.5077180518. The cubic root of 225405414 is about 608.5852855310.

Adding to 225405414 its reverse (414504522), we get a palindrome (639909936).

The spelling of 225405414 in words is "two hundred twenty-five million, four hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 56663 113326 169989 339978 509967 736619 963271 1019934 1473238 1926542 2209857 2889813 4419714 5779626 6629571 8669439 12522523 13259142 17338878 25045046 37567569 75135138 112702707 225405414