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211332020 = 22557718313
BaseRepresentation
bin11001001100010…
…10101110110100
3112201122210000212
430212022232310
5413100111040
632545324552
75144202224
oct1446125664
9481583025
10211332020
11a9322969
125a936758
1334a24243
14200d2084
1513846d65
hexc98abb4

211332020 has 24 divisors (see below), whose sum is σ = 444590664. Its totient is φ = 84381696.

The previous prime is 211331993. The next prime is 211332029. The reversal of 211332020 is 20233112.

It is a happy number.

211332020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55681444 + 155650576 = 7462^2 + 12476^2 .

It is a super-2 number, since 2×2113320202 = 89322445354560800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211331986 and 211332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384 + ... + 20696.

It is an arithmetic number, because the mean of its divisors is an integer number (18524611).

Almost surely, 2211332020 is an apocalyptic number.

211332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332020 is an abundant number, since it is smaller than the sum of its proper divisors (233258644).

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

211332020 is a wasteful number, since it uses less digits than its factorization.

211332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18899 (or 18897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 211332020 is about 14537.2631537026. The cubic root of 211332020 is about 595.6462812628.

Adding to 211332020 its reverse (20233112), we get a palindrome (231565132).

The spelling of 211332020 in words is "two hundred eleven million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 18313 36626 73252 91565 183130 366260 10566601 21133202 42266404 52833005 105666010 211332020