Search a number
-
+
22121020 = 22547101233
BaseRepresentation
bin101010001100…
…0101000111100
31112121212100001
41110120220330
521130333040
62110044044
7356011525
oct124305074
945555301
1022121020
1111539939
1274a9624
13477697c
142d1b84c
151e1e59a
hex1518a3c

22121020 has 48 divisors (see below), whose sum is σ = 48117888. Its totient is φ = 8537600.

The previous prime is 22121003. The next prime is 22121041. The reversal of 22121020 is 2012122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22120988 and 22121006.

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 15 ways as a sum of consecutive naturals, for example, 94824 + ... + 95056.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 222121020 is an apocalyptic number.

22121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121020 is an abundant number, since it is smaller than the sum of its proper divisors (25996868).

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

22121020 is a wasteful number, since it uses less digits than its factorization.

22121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22121020 is about 4703.2988423021. The cubic root of 22121020 is about 280.7167859471.

Adding to 22121020 its reverse (2012122), we get a palindrome (24133142).

The spelling of 22121020 in words is "twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 101 188 202 233 235 404 466 470 505 932 940 1010 1165 2020 2330 4660 4747 9494 10951 18988 21902 23533 23735 43804 47066 47470 54755 94132 94940 109510 117665 219020 235330 470660 1106051 2212102 4424204 5530255 11060510 22121020