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21323322 = 23237101317
BaseRepresentation
bin101000101010…
…1111000111010
31111010100002200
41101111320322
520424321242
62041011030
7346150056
oct121257072
944110080
1021323322
1111044589
127183a76
134557867
142b90c66
151d1304c
hex1455e3a

21323322 has 48 divisors (see below), whose sum is σ = 48070152. Its totient is φ = 6825600.

The previous prime is 21323311. The next prime is 21323371. The reversal of 21323322 is 22332312.

It is a happy number.

21323322 is a `hidden beast` number, since 21 + 323 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20875761 + 447561 = 4569^2 + 669^2 .

It is a super-2 number, since 2×213233222 = 909368122231368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21323295 and 21323304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67108 + ... + 67424.

Almost surely, 221323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035076).

21323322 is an abundant number, since it is smaller than the sum of its proper divisors (26746830).

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

21323322 is a wasteful number, since it uses less digits than its factorization.

21323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 460 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 21323322 is about 4617.7182677162. The cubic root of 21323322 is about 277.3011187593.

Adding to 21323322 its reverse (22332312), we get a palindrome (43655634).

The spelling of 21323322 in words is "twenty-one million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 317 333 606 634 666 909 951 1818 1902 2853 3737 5706 7474 11211 11729 22422 23458 32017 33633 35187 64034 67266 70374 96051 105561 192102 211122 288153 576306 1184629 2369258 3553887 7107774 10661661 21323322