Search a number
-
+
225656442 = 23411126631
BaseRepresentation
bin11010111001100…
…11111001111010
3120201121112110000
431130303321322
5430232001232
634220333430
75410022334
oct1534637172
9521545400
10225656442
11106417030
12636a4276
133799b22b
1421d80454
1514c2627c
hexd733e7a

225656442 has 40 divisors (see below), whose sum is σ = 551608992. Its totient is φ = 68380200.

The previous prime is 225656441. The next prime is 225656449. The reversal of 225656442 is 244656522.

225656442 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 5 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225656397 and 225656406.

It is not an unprimeable number, because it can be changed into a prime (225656441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61534 + ... + 65097.

Almost surely, 2225656442 is an apocalyptic number.

225656442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225656442 is an abundant number, since it is smaller than the sum of its proper divisors (325952550).

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

225656442 is a wasteful number, since it uses less digits than its factorization.

225656442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126656 (or 126647 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 225656442 is about 15021.8654633837. The cubic root of 225656442 is about 608.8111234508.

The spelling of 225656442 in words is "two hundred twenty-five million, six hundred fifty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 126631 253262 379893 759786 1139679 1392941 2279358 2785882 3419037 4178823 6838074 8357646 10257111 12536469 20514222 25072938 37609407 75218814 112828221 225656442