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2222064 = 2432131187
BaseRepresentation
bin1000011110011111110000
311011220002200
420132133300
51032101224
6115343200
724613215
oct10363760
94156080
102222064
111288519
128b1b00
135ca540
1441bb0c
152dd5c9
hex21e7f0

2222064 has 60 divisors (see below), whose sum is σ = 6702696. Its totient is φ = 683136.

The previous prime is 2222039. The next prime is 2222071. The reversal of 2222064 is 4602222.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1279 + ... + 2465.

22222064 is an apocalyptic number.

2222064 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 2222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351348).

2222064 is an abundant number, since it is smaller than the sum of its proper divisors (4480632).

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

2222064 is a wasteful number, since it uses less digits than its factorization.

2222064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

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

The square root of 2222064 is about 1490.6589147085. The cubic root of 2222064 is about 130.4924908702.

Adding to 2222064 its reverse (4602222), we get a palindrome (6824286).

The spelling of 2222064 in words is "two million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1187 1872 2374 3561 4748 7122 9496 10683 14244 15431 18992 21366 28488 30862 42732 46293 56976 61724 85464 92586 123448 138879 170928 185172 246896 277758 370344 555516 740688 1111032 2222064