Search a number
-
+
225762824 = 23716324733
BaseRepresentation
bin11010111010011…
…01111000001000
3120201210221101002
431131031320020
5430243402244
634222514132
75410644440
oct1535157010
9521727332
10225762824
11106489a51
1263735948
1337a07791
1421dab120
1514c47a4e
hexd74de08

225762824 has 32 divisors (see below), whose sum is σ = 486765120. Its totient is φ = 96158016.

The previous prime is 225762821. The next prime is 225762869. The reversal of 225762824 is 428267522.

225762824 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225762821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3239 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (15211410).

Almost surely, 2225762824 is an apocalyptic number.

It is an amenable number.

225762824 is an abundant number, since it is smaller than the sum of its proper divisors (261002296).

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

225762824 is a wasteful number, since it uses less digits than its factorization.

225762824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24909 (or 24905 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 225762824 is about 15025.4059512547. The cubic root of 225762824 is about 608.9067797345.

The spelling of 225762824 in words is "two hundred twenty-five million, seven hundred sixty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 163 326 652 1141 1304 2282 4564 9128 24733 49466 98932 173131 197864 346262 692524 1385048 4031479 8062958 16125916 28220353 32251832 56440706 112881412 225762824