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2223252 = 223261757
BaseRepresentation
bin1000011110110010010100
311011221201200
420132302110
51032121002
6115352500
724616533
oct10366224
94157650
102223252
1112893a9
128b2730
135cac45
1441c31a
152ddb1c
hex21ec94

2223252 has 18 divisors (see below), whose sum is σ = 5619978. Its totient is φ = 741072.

The previous prime is 2223233. The next prime is 2223253. The reversal of 2223252 is 2523222.

It can be written as a sum of positive squares in only one way, i.e., 1527696 + 695556 = 1236^2 + 834^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30843 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (312221).

22223252 is an apocalyptic number.

It is an amenable number.

2223252 is an abundant number, since it is smaller than the sum of its proper divisors (3396726).

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

2223252 is a wasteful number, since it uses less digits than its factorization.

2223252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61767 (or 61762 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 2223252 is about 1491.0573429617. The cubic root of 2223252 is about 130.5157421446.

Adding to 2223252 its reverse (2523222), we get a palindrome (4746474).

The spelling of 2223252 in words is "two million, two hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61757 123514 185271 247028 370542 555813 741084 1111626 2223252