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2222952 = 23392623
BaseRepresentation
bin1000011110101101101000
311011221022120
420132231220
51032113302
6115351240
724615624
oct10365550
94157276
102222952
111289156
128b2520
135caa74
1441c184
152dd9bc
hex21eb68

2222952 has 16 divisors (see below), whose sum is σ = 5557440. Its totient is φ = 740976.

The previous prime is 2222933. The next prime is 2222977. The reversal of 2222952 is 2592222.

2222952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 92623 = 2222952 / (2 + 2 + 2 + 2 + 9 + 5 + 2).

It is a d-powerful number, because it can be written as 2 + 25 + 26 + 210 + 94 + 59 + 218 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46288 + ... + 46335.

It is an arithmetic number, because the mean of its divisors is an integer number (347340).

22222952 is an apocalyptic number.

It is an amenable number.

2222952 is an abundant number, since it is smaller than the sum of its proper divisors (3334488).

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

2222952 is a wasteful number, since it uses less digits than its factorization.

2222952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92632 (or 92628 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2222952 is about 1490.9567398151. The cubic root of 2222952 is about 130.5098713926.

The spelling of 2222952 in words is "two million, two hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 92623 185246 277869 370492 555738 740984 1111476 2222952