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224402225 = 5237416197
BaseRepresentation
bin11010110000000…
…01101100110001
3120122020210222112
431120001230301
5424421332400
634133415105
75363246615
oct1530015461
9518223875
10224402225
1110573a793
126319a495
133764c3a8
1421b35345
1514a79835
hexd601b31

224402225 has 48 divisors (see below), whose sum is σ = 300616176. Its totient is φ = 165888000.

The previous prime is 224402209. The next prime is 224402239. The reversal of 224402225 is 522204422.

It can be written as a sum of positive squares in 24 ways, for example, as 209409841 + 14992384 = 14471^2 + 3872^2 .

It is not a de Polignac number, because 224402225 - 24 = 224402209 is a prime.

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 224402225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313377 + ... + 2313473.

It is an arithmetic number, because the mean of its divisors is an integer number (6262837).

Almost surely, 2224402225 is an apocalyptic number.

224402225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224402225 is a deficient number, since it is larger than the sum of its proper divisors (76213951).

224402225 is a wasteful number, since it uses less digits than its factorization.

224402225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 224402225 is about 14980.0609144289. The cubic root of 224402225 is about 607.6810865372.

Adding to 224402225 its reverse (522204422), we get a palindrome (746606647).

The spelling of 224402225 in words is "two hundred twenty-four million, four hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 37 41 61 97 185 205 305 485 925 1025 1517 1525 2257 2425 2501 3589 3977 5917 7585 11285 12505 17945 19885 29585 37925 56425 62525 89725 92537 99425 147149 147925 218929 242597 462685 735745 1094645 1212985 2313425 3678725 5473225 6064925 8976089 44880445 224402225