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225022914 = 23317214419
BaseRepresentation
bin11010110100110…
…01001111000010
3120200102100102000
431122121033002
5430101213124
634155004430
75401443324
oct1532311702
9520370360
10225022914
11106024056
1263439716
1337808a6c
1421c57614
1514b4d6c9
hexd6993c2

225022914 has 48 divisors (see below), whose sum is σ = 531232800. Its totient is φ = 70590528.

The previous prime is 225022901. The next prime is 225022943. The reversal of 225022914 is 419220522.

It is a happy number.

225022914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

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, 8397 + ... + 22815.

It is an arithmetic number, because the mean of its divisors is an integer number (11067350).

Almost surely, 2225022914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225022914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265616400).

225022914 is an abundant number, since it is smaller than the sum of its proper divisors (306209886).

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

225022914 is a wasteful number, since it uses less digits than its factorization.

225022914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14464 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225022914 is about 15000.7637805546. The cubic root of 225022914 is about 608.2408459049.

The spelling of 225022914 in words is "two hundred twenty-five million, twenty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 867 918 1734 2601 5202 7803 14419 15606 28838 43257 86514 129771 245123 259542 389313 490246 735369 778626 1470738 2206107 4167091 4412214 6618321 8334182 12501273 13236642 25002546 37503819 75007638 112511457 225022914