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2223968 = 2569499
BaseRepresentation
bin1000011110111101100000
311011222201012
420132331200
51032131333
6115400052
724621605
oct10367540
94158635
102223968
11128999a
128b3028
135cb376
1441c6ac
152dde48
hex21ef60

2223968 has 12 divisors (see below), whose sum is σ = 4378500. Its totient is φ = 1111968.

The previous prime is 2223967. The next prime is 2223973. The reversal of 2223968 is 8693222.

2223968 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 (32), and also a Moran number because the ratio is a prime number: 69499 = 2223968 / (2 + 2 + 2 + 3 + 9 + 6 + 8).

It is a d-powerful number, because it can be written as 29 + 213 + 221 + 310 + 95 + 6 + 8 .

It is a plaindrome in base 11.

It is a congruent number.

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

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 as a sum of consecutive naturals, namely, 34718 + ... + 34781.

It is an arithmetic number, because the mean of its divisors is an integer number (364875).

22223968 is an apocalyptic number.

It is an amenable number.

2223968 is a deficient number, since it is larger than the sum of its proper divisors (2154532).

2223968 is an equidigital number, since it uses as much as digits as its factorization.

2223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69509 (or 69501 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 2223968 is about 1491.2974217104. The cubic root of 2223968 is about 130.5297515389.

The spelling of 2223968 in words is "two million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 69499 138998 277996 555992 1111984 2223968