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224401125 = 35313191241
BaseRepresentation
bin11010110000000…
…01011011100101
3120122020202110210
431120001123211
5424421314000
634133410033
75363243454
oct1530013345
9518222423
10224401125
11105739983
1263199919
133764ba40
1421b34b9b
1514a79350
hexd6016e5

224401125 has 64 divisors (see below), whose sum is σ = 405909504. Its totient is φ = 109440000.

The previous prime is 224401097. The next prime is 224401141. The reversal of 224401125 is 521104422.

It is not a de Polignac number, because 224401125 - 27 = 224400997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931005 + ... + 931245.

It is an arithmetic number, because the mean of its divisors is an integer number (6342336).

Almost surely, 2224401125 is an apocalyptic number.

224401125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224401125 is a deficient number, since it is larger than the sum of its proper divisors (181508379).

224401125 is a wasteful number, since it uses less digits than its factorization.

224401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 224401125 is about 14980.0241989124. The cubic root of 224401125 is about 607.6800936025.

Adding to 224401125 its reverse (521104422), we get a palindrome (745505547).

The spelling of 224401125 in words is "two hundred twenty-four million, four hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 191 195 241 325 375 573 723 955 975 1205 1625 2483 2865 3133 3615 4775 4875 6025 7449 9399 12415 14325 15665 18075 23875 30125 37245 46031 46995 62075 71625 78325 90375 138093 186225 230155 234975 310375 391625 598403 690465 931125 1150775 1174875 1795209 2992015 3452325 5753875 8976045 14960075 17261625 44880225 74800375 224401125