Search a number
-
+
225756036 = 223211570091
BaseRepresentation
bin11010111010011…
…00001110000100
3120201210121001200
431131030032010
5430243143121
634222422500
75410615602
oct1535141604
9521717050
10225756036
11106484940
1263731a30
1337a0466c
1421da8872
1514c45a26
hexd74c384

225756036 has 36 divisors (see below), whose sum is σ = 622540464. Its totient is φ = 68410800.

The previous prime is 225756029. The next prime is 225756061. The reversal of 225756036 is 630657522.

It is a happy number.

225756036 is a `hidden beast` number, since 22 + 575 + 60 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 284650 + ... + 285441.

Almost surely, 2225756036 is an apocalyptic number.

It is an amenable number.

225756036 is an abundant number, since it is smaller than the sum of its proper divisors (396784428).

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

225756036 is a wasteful number, since it uses less digits than its factorization.

225756036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570112 (or 570107 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 225756036 is about 15025.1800654768. The cubic root of 225756036 is about 608.9006770164.

The spelling of 225756036 in words is "two hundred twenty-five million, seven hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 570091 1140182 1710273 2280364 3420546 5130819 6271001 6841092 10261638 12542002 18813003 20523276 25084004 37626006 56439009 75252012 112878018 225756036