Search a number
-
+
21220122 = 23711231997
BaseRepresentation
bin101000011110…
…0101100011010
31110221002112110
41100330230122
520413020442
62034453150
7345240150
oct120745432
943832473
1021220122
1110a83aa0
1271341b6
13451c8b1
142b653d0
151ce269c
hex143cb1a

21220122 has 64 divisors (see below), whose sum is σ = 55240704. Its totient is φ = 5269440.

The previous prime is 21220109. The next prime is 21220153. The reversal of 21220122 is 22102212.

It is a junction number, because it is equal to n+sod(n) for n = 21220098 and 21220107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9628 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (863136).

Almost surely, 221220122 is an apocalyptic number.

21220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620352).

21220122 is an abundant number, since it is smaller than the sum of its proper divisors (34020582).

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

21220122 is a wasteful number, since it uses less digits than its factorization.

21220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21220122 is about 4606.5303646020. The cubic root of 21220122 is about 276.8530371184.

Adding to 21220122 its reverse (22102212), we get a palindrome (43322334).

The spelling of 21220122 in words is "twenty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 1997 3542 3994 5313 5991 10626 11982 13979 21967 27958 41937 43934 45931 65901 83874 91862 131802 137793 153769 275586 307538 321517 461307 505241 643034 922614 964551 1010482 1515723 1929102 3031446 3536687 7073374 10610061 21220122