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22354225 = 5241113193
BaseRepresentation
bin101010101000…
…1100100110001
31120001201020021
41111101210301
521210313400
62115043441
7361002445
oct125214461
946051207
1022354225
1111689073
1275a0581
134828b6a
142d7c825
151e6871a
hex1551931

22354225 has 24 divisors (see below), whose sum is σ = 28795032. Its totient is φ = 17203200.

The previous prime is 22354217. The next prime is 22354231. The reversal of 22354225 is 52245322.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20493729 + 1860496 = 4527^2 + 1364^2 .

It is not a de Polignac number, because 22354225 - 23 = 22354217 is a prime.

It is a super-2 number, since 2×223542252 = 999422750701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22354225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115729 + ... + 115921.

It is an arithmetic number, because the mean of its divisors is an integer number (1199793).

Almost surely, 222354225 is an apocalyptic number.

22354225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22354225 is a deficient number, since it is larger than the sum of its proper divisors (6440807).

22354225 is a wasteful number, since it uses less digits than its factorization.

22354225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 4800, while the sum is 25.

The square root of 22354225 is about 4728.0254863949. The cubic root of 22354225 is about 281.6998004196.

Adding to 22354225 its reverse (52245322), we get a palindrome (74599547).

The spelling of 22354225 in words is "twenty-two million, three hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 41 113 193 205 565 965 1025 2825 4633 4825 7913 21809 23165 39565 109045 115825 197825 545225 894169 4470845 22354225