Search a number
-
+
225202572 = 22337378397
BaseRepresentation
bin11010110110001…
…01000110001100
3120200202110212000
431123011012030
5430122440242
634202512300
75403122160
oct1533050614
9520673760
10225202572
11106137031
1263505690
133786c77a
1421ca2ca0
1514b86a4c
hexd6c518c

225202572 has 192 divisors, whose sum is σ = 700707840. Its totient is φ = 61212672.

The previous prime is 225202547. The next prime is 225202589. The reversal of 225202572 is 275202522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2321628 + ... + 2321724.

It is an arithmetic number, because the mean of its divisors is an integer number (3649520).

Almost surely, 2225202572 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 225202572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350353920).

225202572 is an abundant number, since it is smaller than the sum of its proper divisors (475505268).

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

225202572 is a wasteful number, since it uses less digits than its factorization.

225202572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225202572 is about 15006.7508808536. The cubic root of 225202572 is about 608.4026757427.

The spelling of 225202572 in words is "two hundred twenty-five million, two hundred two thousand, five hundred seventy-two".