Search a number
-
+
222224600 = 235213127673
BaseRepresentation
bin11010011111011…
…10000011011000
3120111011011211202
431033232003120
5423342141400
634015013332
75335610063
oct1517560330
9514134752
10222224600
111044926a4
126250a248
1337069160
14217298da
15147994d5
hexd3ee0d8

222224600 has 96 divisors (see below), whose sum is σ = 561630720. Its totient is φ = 81285120.

The previous prime is 222224599. The next prime is 222224669. The reversal of 222224600 is 6422222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 329864 + ... + 330536.

It is an arithmetic number, because the mean of its divisors is an integer number (5850320).

Almost surely, 2222224600 is an apocalyptic number.

222224600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280815360).

222224600 is an abundant number, since it is smaller than the sum of its proper divisors (339406120).

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

222224600 is a wasteful number, since it uses less digits than its factorization.

222224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 222224600 is about 14907.1996028765. The cubic root of 222224600 is about 605.7090246242.

Adding to 222224600 its reverse (6422222), we get a palindrome (228646822).

The spelling of 222224600 in words is "two hundred twenty-two million, two hundred twenty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 127 130 200 254 260 325 508 520 635 650 673 1016 1270 1300 1346 1651 2540 2600 2692 3175 3302 3365 5080 5384 6350 6604 6730 8255 8749 12700 13208 13460 16510 16825 17498 25400 26920 33020 33650 34996 41275 43745 66040 67300 69992 82550 85471 87490 134600 165100 170942 174980 218725 330200 341884 349960 427355 437450 683768 854710 874900 1111123 1709420 1749800 2136775 2222246 3418840 4273550 4444492 5555615 8547100 8888984 11111230 17094200 22222460 27778075 44444920 55556150 111112300 222224600