Search a number
-
+
225431140 = 225119291103
BaseRepresentation
bin11010110111111…
…00111001100100
3120201012002101111
431123330321210
5430202244030
634211434404
75405063434
oct1533747144
9521162344
10225431140
11106282830
12635b5a04
133791c80c
1421d222c4
1514bce62a
hexd6fce64

225431140 has 48 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 81812480.

The previous prime is 225431137. The next prime is 225431147. The reversal of 225431140 is 41134522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (225431147) 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 15 ways as a sum of consecutive naturals, for example, 203829 + ... + 204931.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2225431140 is an apocalyptic number.

225431140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225431140 is an abundant number, since it is smaller than the sum of its proper divisors (292035740).

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

225431140 is a wasteful number, since it uses less digits than its factorization.

225431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225431140 is about 15014.3644554140. The cubic root of 225431140 is about 608.6084376952.

Adding to 225431140 its reverse (41134522), we get a palindrome (266565662).

The spelling of 225431140 in words is "two hundred twenty-five million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 929 1103 1858 2206 3716 4412 4645 5515 9290 10219 11030 12133 18580 20438 22060 24266 40876 48532 51095 60665 102190 121330 204380 242660 1024687 2049374 4098748 5123435 10246870 11271557 20493740 22543114 45086228 56357785 112715570 225431140