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2022664 = 237191901
BaseRepresentation
bin111101101110100001000
310210202120111
413231310020
51004211124
6111204104
723122660
oct7556410
93722514
102022664
111161726
12816634
1355a857
143a91a0
1529e494
hex1edd08

2022664 has 32 divisors (see below), whose sum is σ = 4564800. Its totient is φ = 820800.

The previous prime is 2022661. The next prime is 2022701. The reversal of 2022664 is 4662202.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2022661) 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 in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 2014.

It is an arithmetic number, because the mean of its divisors is an integer number (142650).

22022664 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 2022664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282400).

2022664 is an abundant number, since it is smaller than the sum of its proper divisors (2542136).

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

2022664 is a wasteful number, since it uses less digits than its factorization.

2022664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2022664 is about 1422.2039234934. The cubic root of 2022664 is about 126.4662327136.

Adding to 2022664 its reverse (4662202), we get a palindrome (6684866).

The spelling of 2022664 in words is "two million, twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1901 3802 7604 13307 15208 26614 36119 53228 72238 106456 144476 252833 288952 505666 1011332 2022664