Search a number
-
+
21233100 = 22352710111
BaseRepresentation
bin101000011111…
…1110111001100
31110221202100010
41100333313030
520413424400
62035033220
7345323040
oct120776714
943852303
1021233100
1110a92819
12713b810
134525785
142b6a020
151ce6450
hex143fdcc

21233100 has 72 divisors (see below), whose sum is σ = 70217728. Its totient is φ = 4852800.

The previous prime is 21233087. The next prime is 21233111. The reversal of 21233100 is 133212.

It is a happy number.

It is a super-2 number, since 2×212331002 = 901689071220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956 + ... + 7155.

Almost surely, 221233100 is an apocalyptic number.

21233100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233100 is an abundant number, since it is smaller than the sum of its proper divisors (48984628).

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

21233100 is a wasteful number, since it uses less digits than its factorization.

21233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21233100 is about 4607.9388016769. The cubic root of 21233100 is about 276.9094657365.

Adding to 21233100 its reverse (133212), we get a palindrome (21366312).

The spelling of 21233100 in words is "twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10111 20222 30333 40444 50555 60666 70777 101110 121332 141554 151665 202220 212331 252775 283108 303330 353885 424662 505550 606660 707770 758325 849324 1011100 1061655 1415540 1516650 1769425 2123310 3033300 3538850 4246620 5308275 7077700 10616550 21233100