Search a number
-
+
222324264 = 23341033331
BaseRepresentation
bin11010100000001…
…10011000101000
3120111100020120000
431100012120220
5423403334024
634021103000
75336503461
oct1520063050
9514306500
10222324264
11104550568
1262557a60
13370a2626
1421753d68
15147b8cc9
hexd406628

222324264 has 80 divisors (see below), whose sum is σ = 628948320. Its totient is φ = 73366560.

The previous prime is 222324251. The next prime is 222324287. The reversal of 222324264 is 462423222.

It is a happy number.

222324264 is a `hidden beast` number, since 2 + 2 + 232 + 426 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65079 + ... + 68409.

It is an arithmetic number, because the mean of its divisors is an integer number (7861854).

Almost surely, 2222324264 is an apocalyptic number.

222324264 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 222324264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314474160).

222324264 is an abundant number, since it is smaller than the sum of its proper divisors (406624056).

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

222324264 is a wasteful number, since it uses less digits than its factorization.

222324264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3439 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 222324264 is about 14910.5420424611. The cubic root of 222324264 is about 605.7995611983.

Adding to 222324264 its reverse (462423222), we get a palindrome (684747486).

The spelling of 222324264 in words is "two hundred twenty-two million, three hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2472 2781 3331 3708 5562 6662 7416 8343 9993 11124 13324 16686 19986 22248 26648 29979 33372 39972 59958 66744 79944 89937 119916 179874 239832 269811 343093 359748 539622 686186 719496 1029279 1079244 1372372 2058558 2158488 2744744 3087837 4117116 6175674 8234232 9263511 12351348 18527022 24702696 27790533 37054044 55581066 74108088 111162132 222324264