Search a number
-
+
222104322 = 233111672239
BaseRepresentation
bin11010011110100…
…00101100000010
3120110221001212000
431033100230002
5423324314242
634012244430
75334566316
oct1517205402
9513831760
10222104322
111044102a0
1262470716
133702649b
14216d7b46
1514773a4c
hexd3d0b02

222104322 has 64 divisors (see below), whose sum is σ = 541900800. Its totient is φ = 66871440.

The previous prime is 222104321. The next prime is 222104327. The reversal of 222104322 is 223401222.

222104322 is a `hidden beast` number, since 22 + 210 + 432 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222104295 and 222104304.

It is not an unprimeable number, because it can be changed into a prime (222104321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98079 + ... + 100317.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2222104322 is an apocalyptic number.

222104322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222104322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

222104322 is an abundant number, since it is smaller than the sum of its proper divisors (319796478).

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

222104322 is a wasteful number, since it uses less digits than its factorization.

222104322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222104322 is about 14903.1648316725. The cubic root of 222104322 is about 605.5997258668.

Adding to 222104322 its reverse (223401222), we get a palindrome (445505544).

The spelling of 222104322 in words is "two hundred twenty-two million, one hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 2239 3006 3674 4478 4509 5511 6717 9018 11022 13434 16533 20151 24629 33066 40302 49258 49599 60453 73887 99198 120906 147774 221661 373913 443322 664983 747826 1121739 1329966 2243478 3365217 4113043 6730434 8226086 10095651 12339129 20191302 24678258 37017387 74034774 111052161 222104322