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225423972 = 2234798807
BaseRepresentation
bin11010110111110…
…11001001100100
3120201011201120000
431123323021210
5430202031342
634211341300
75405033514
oct1533731144
9521151500
10225423972
11106278404
12635b1830
1337919487
1421d1d844
1514bcc44c
hexd6fb264

225423972 has 60 divisors (see below), whose sum is σ = 596830080. Its totient is φ = 74181744.

The previous prime is 225423967. The next prime is 225423973. The reversal of 225423972 is 279324522.

225423972 is a `hidden beast` number, since 22 + 542 + 3 + 97 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225423973) 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, 21193 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (9947168).

Almost surely, 2225423972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225423972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298415040).

225423972 is an abundant number, since it is smaller than the sum of its proper divisors (371406108).

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

225423972 is a wasteful number, since it uses less digits than its factorization.

225423972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8891 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 225423972 is about 15014.1257487741. The cubic root of 225423972 is about 608.6019870166.

The spelling of 225423972 in words is "two hundred twenty-five million, four hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 6399 8532 8807 12798 17614 25596 26421 35228 52842 79263 105684 158526 237789 317052 475578 695753 713367 951156 1391506 1426734 2087259 2783012 2853468 4174518 6261777 8349036 12523554 18785331 25047108 37570662 56355993 75141324 112711986 225423972