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21002922 = 23317137167
BaseRepresentation
bin101000000011…
…1101010101010
31110112001121000
41100013222222
520334043142
62030055430
7343344003
oct120075252
943461530
1021002922
1110945896
12704a576
134474a85
142b0a1aa
151c9d14c
hex1407aaa

21002922 has 64 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 6501888.

The previous prime is 21002921. The next prime is 21002929. The reversal of 21002922 is 22920012.

It is a super-2 number, since 2×210029222 = 882245465076168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21002895 and 21002904.

It is not an unprimeable number, because it can be changed into a prime (21002921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125683 + ... + 125849.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 221002922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

21002922 is an abundant number, since it is smaller than the sum of its proper divisors (29074518).

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

21002922 is a wasteful number, since it uses less digits than its factorization.

21002922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21002922 is about 4582.8945002040. The cubic root of 21002922 is about 275.9052131977.

Adding to 21002922 its reverse (22920012), we get a palindrome (43922934).

The spelling of 21002922 in words is "twenty-one million, two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 137 153 167 274 306 334 411 459 501 822 918 1002 1233 1503 2329 2466 2839 3006 3699 4509 4658 5678 6987 7398 8517 9018 13974 17034 20961 22879 25551 41922 45758 51102 62883 68637 76653 125766 137274 153306 205911 388943 411822 617733 777886 1166829 1235466 2333658 3500487 7000974 10501461 21002922