Search a number
-
+
225697472 = 26711132271
BaseRepresentation
bin11010111001111…
…01111011000000
3120201200121201122
431130331323000
5430234304342
634221251412
75410253060
oct1534757300
9521617648
10225697472
11106444940
1263703b68
13379b3b00
1421d913a0
1514c334d2
hexd73dec0

225697472 has 168 divisors, whose sum is σ = 606868992. Its totient is φ = 80870400.

The previous prime is 225697441. The next prime is 225697513. The reversal of 225697472 is 274796522.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832697 + ... + 832967.

Almost surely, 2225697472 is an apocalyptic number.

225697472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303434496).

225697472 is an abundant number, since it is smaller than the sum of its proper divisors (381171520).

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

225697472 is a wasteful number, since it uses less digits than its factorization.

225697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 225697472 is about 15023.2310772350. The cubic root of 225697472 is about 608.8480202578.

The spelling of 225697472 in words is "two hundred twenty-five million, six hundred ninety-seven thousand, four hundred seventy-two".