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2222964 = 22352287
BaseRepresentation
bin1000011110101101110100
311011221100000
420132231310
51032113324
6115351300
724615642
oct10365564
94157300
102222964
111289167
128b2530
135caa83
1441c192
152dd9c9
hex21eb74

2222964 has 36 divisors (see below), whose sum is σ = 5829824. Its totient is φ = 740664.

The previous prime is 2222933. The next prime is 2222977. The reversal of 2222964 is 4692222.

It is a tau number, because it is divible by the number of its divisors (36).

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 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, 172 + ... + 2115.

22222964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914912).

2222964 is an abundant number, since it is smaller than the sum of its proper divisors (3606860).

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

2222964 is a wasteful number, since it uses less digits than its factorization.

2222964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2222964 is about 1490.9607640713. The cubic root of 2222964 is about 130.5101062328.

The spelling of 2222964 in words is "two million, two hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2287 4574 6861 9148 13722 20583 27444 41166 61749 82332 123498 185247 246996 370494 555741 740988 1111482 2222964