Search a number
-
+
222019224 = 23372814703
BaseRepresentation
bin11010011101110…
…11111010011000
3120110202202010020
431032323322120
5423314103344
634010350440
75334063240
oct1516737230
9513682106
10222019224
11104362369
126242b420
1336cc682b
14216b4b20
1514758719
hexd3bbe98

222019224 has 64 divisors (see below), whose sum is σ = 636733440. Its totient is φ = 63194880.

The previous prime is 222019181. The next prime is 222019247. The reversal of 222019224 is 422910222.

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

It is a junction number, because it is equal to n+sod(n) for n = 222019194 and 222019203.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44857 + ... + 49559.

It is an arithmetic number, because the mean of its divisors is an integer number (9948960).

Almost surely, 2222019224 is an apocalyptic number.

222019224 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 222019224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318366720).

222019224 is an abundant number, since it is smaller than the sum of its proper divisors (414714216).

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

222019224 is a wasteful number, since it uses less digits than its factorization.

222019224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 222019224 is about 14900.3095269863. The cubic root of 222019224 is about 605.5223719636.

Adding to 222019224 its reverse (422910222), we get a palindrome (644929446).

The spelling of 222019224 in words is "two hundred twenty-two million, nineteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 281 562 843 1124 1686 1967 2248 3372 3934 4703 5901 6744 7868 9406 11802 14109 15736 18812 23604 28218 32921 37624 47208 56436 65842 98763 112872 131684 197526 263368 395052 790104 1321543 2643086 3964629 5286172 7929258 9250801 10572344 15858516 18501602 27752403 31717032 37003204 55504806 74006408 111009612 222019224