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2223963 = 3372412
BaseRepresentation
bin1000011110111101011011
311011222201000
420132331123
51032131323
6115400043
724621600
oct10367533
94158630
102223963
111289995
128b3023
135cb371
1441c6a7
152dde43
hex21ef5b

2223963 has 36 divisors (see below), whose sum is σ = 3928440. Its totient is φ = 1239840.

The previous prime is 2223943. The next prime is 2223967. The reversal of 2223963 is 3693222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2223963 - 29 = 2223451 is a prime.

It is a super-2 number, since 2×22239632 = 9892022850738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 29 + 213 + 221 + 3 + 95 + 6 + 310 .

It is not an unprimeable number, because it can be changed into a prime (2223967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54223 + ... + 54263.

22223963 is an apocalyptic number.

2223963 is a deficient number, since it is larger than the sum of its proper divisors (1704477).

2223963 is an equidigital number, since it uses as much as digits as its factorization.

2223963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2223963 is about 1491.2957453168. The cubic root of 2223963 is about 130.5296537184.

Multiplying 2223963 by its sum of digits (27), we get a square (60047001 = 77492).

2223963 divided by its sum of digits (27) gives a square (82369 = 2872).

Multiplying 2223963 by its product of digits (3888), we get a square (8646768144 = 929882).

The spelling of 2223963 in words is "two million, two hundred twenty-three thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 27 41 49 63 123 147 189 287 369 441 861 1107 1323 1681 2009 2583 5043 6027 7749 11767 15129 18081 35301 45387 54243 82369 105903 247107 317709 741321 2223963