Search a number
-
+
2022560 = 25512641
BaseRepresentation
bin111101101110010100000
310210202102122
413231302200
51004210220
6111203412
723122451
oct7556240
93722378
102022560
111161641
12816568
1355a7a7
143a9128
1529e425
hex1edca0

2022560 has 24 divisors (see below), whose sum is σ = 4778676. Its totient is φ = 808960.

The previous prime is 2022539. The next prime is 2022583. The reversal of 2022560 is 652202.

It can be written as a sum of positive squares in 2 ways, for example, as 1628176 + 394384 = 1276^2 + 628^2 .

It is a congruent number.

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, 6161 + ... + 6480.

22022560 is an apocalyptic number.

2022560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022560 is an abundant number, since it is smaller than the sum of its proper divisors (2756116).

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

2022560 is a wasteful number, since it uses less digits than its factorization.

2022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2022560 is about 1422.1673600530. The cubic root of 2022560 is about 126.4640651574.

Adding to 2022560 its reverse (652202), we get a palindrome (2674762).

The spelling of 2022560 in words is "two million, twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12641 25282 50564 63205 101128 126410 202256 252820 404512 505640 1011280 2022560