Search a number
-
+
225774216 = 233638713
BaseRepresentation
bin11010111010100…
…00101010001000
3120201211112000000
431131100222020
5430244233331
634223043000
75411022603
oct1535205210
9521745000
10225774216
11106497568
1263740460
1337a0ca15
1421db133a
1514c4b0e6
hexd750a88

225774216 has 56 divisors (see below), whose sum is σ = 634716030. Its totient is φ = 75256128.

The previous prime is 225774163. The next prime is 225774253. The reversal of 225774216 is 612477522.

It is a happy number.

225774216 is a `hidden beast` number, since 225 + 7 + 7 + 421 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161036100 + 64738116 = 12690^2 + 8046^2 .

It is a super-2 number, since 2×2257742162 = 101947993220829312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 13525 + ... + 25188.

Almost surely, 2225774216 is an apocalyptic number.

It is an amenable number.

225774216 is an abundant number, since it is smaller than the sum of its proper divisors (408941814).

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

225774216 is an equidigital number, since it uses as much as digits as its factorization.

225774216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38737 (or 38718 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 225774216 is about 15025.7850377276. The cubic root of 225774216 is about 608.9170213814.

The spelling of 225774216 in words is "two hundred twenty-five million, seven hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 38713 77426 116139 154852 232278 309704 348417 464556 696834 929112 1045251 1393668 2090502 2787336 3135753 4181004 6271506 8362008 9407259 12543012 18814518 25086024 28221777 37629036 56443554 75258072 112887108 225774216