Search a number
-
+
21223100 = 2252832557
BaseRepresentation
bin101000011110…
…1011010111100
31110221020121202
41100331122330
520413114400
62034515032
7345251633
oct120753274
943836552
1021223100
1110a86258
127135a78
134521062
142b6651a
151ce34d5
hex143d6bc

21223100 has 36 divisors (see below), whose sum is σ = 46627224. Its totient is φ = 8383680.

The previous prime is 21223093. The next prime is 21223141. The reversal of 21223100 is 132212.

It is a happy number.

It is a super-2 number, since 2×212231002 = 900839947220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7022 + ... + 9578.

Almost surely, 221223100 is an apocalyptic number.

21223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313612).

21223100 is an abundant number, since it is smaller than the sum of its proper divisors (25404124).

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

21223100 is a wasteful number, since it uses less digits than its factorization.

21223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21223100 is about 4606.8535900330. The cubic root of 21223100 is about 276.8659875588.

Adding to 21223100 its reverse (132212), we get a palindrome (21355312).

The spelling of 21223100 in words is "twenty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 2557 4150 5114 8300 10228 12785 25570 51140 63925 127850 212231 255700 424462 848924 1061155 2122310 4244620 5305775 10611550 21223100