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224225250 = 2353476361
BaseRepresentation
bin11010101110101…
…10011111100010
3120121220211012220
431113112133202
5424400202000
634125531510
75361611634
oct1527263742
9517824186
10224225250
11105629827
1263113b96
13375b9982
1421acaa54
1514a421a0
hexd5d67e2

224225250 has 64 divisors (see below), whose sum is σ = 571663872. Its totient is φ = 58512000.

The previous prime is 224225227. The next prime is 224225279. The reversal of 224225250 is 52522422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 224225250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32070 + ... + 38430.

It is an arithmetic number, because the mean of its divisors is an integer number (8932248).

Almost surely, 2224225250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224225250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285831936).

224225250 is an abundant number, since it is smaller than the sum of its proper divisors (347438622).

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

224225250 is a wasteful number, since it uses less digits than its factorization.

224225250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 224225250 is about 14974.1527306222. The cubic root of 224225250 is about 607.5212951264.

Adding to 224225250 its reverse (52522422), we get a palindrome (276747672).

It can be divided in two parts, 22422 and 5250, that added together give a palindrome (27672).

The spelling of 224225250 in words is "two hundred twenty-four million, two hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 125 141 150 235 250 282 375 470 705 750 1175 1410 2350 3525 5875 6361 7050 11750 12722 17625 19083 31805 35250 38166 63610 95415 159025 190830 298967 318050 477075 597934 795125 896901 954150 1494835 1590250 1793802 2385375 2989670 4484505 4770750 7474175 8969010 14948350 22422525 37370875 44845050 74741750 112112625 224225250