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222424224 = 25311347607
BaseRepresentation
bin11010100000111…
…10110010100000
3120111112022200020
431100132302200
5423420033344
634023153440
75340401061
oct1520366240
9514468606
10222424224
11104609680
12625a5880
1337108c89
142177c568
15147d8719
hexd41eca0

222424224 has 96 divisors (see below), whose sum is σ = 639830016. Its totient is φ = 67096320.

The previous prime is 222424193. The next prime is 222424247. The reversal of 222424224 is 422424222.

222424224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222424194 and 222424203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366129 + ... + 366735.

It is an arithmetic number, because the mean of its divisors is an integer number (6664896).

Almost surely, 2222424224 is an apocalyptic number.

222424224 is a gapful number since it is divisible by the number (24) 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 222424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319915008).

222424224 is an abundant number, since it is smaller than the sum of its proper divisors (417405792).

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

222424224 is a wasteful number, since it uses less digits than its factorization.

222424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 222424224 is about 14913.8936565875. The cubic root of 222424224 is about 605.8903394902.

Adding to 222424224 its reverse (422424222), we get a palindrome (644848446).

The spelling of 222424224 in words is "two hundred twenty-two million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 347 352 528 607 694 1041 1056 1214 1388 1821 2082 2428 2776 3642 3817 4164 4856 5552 6677 7284 7634 8328 9712 11104 11451 13354 14568 15268 16656 19424 20031 22902 26708 29136 30536 33312 40062 45804 53416 58272 61072 80124 91608 106832 122144 160248 183216 210629 213664 320496 366432 421258 631887 640992 842516 1263774 1685032 2316919 2527548 3370064 4633838 5055096 6740128 6950757 9267676 10110192 13901514 18535352 20220384 27803028 37070704 55606056 74141408 111212112 222424224