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21022000 = 245323457
BaseRepresentation
bin101000000110…
…0010100110000
31110120000202121
41100030110300
520340201000
62030324024
7343453426
oct120142460
943500677
1021022000
111095915a
127059614
13448066c
142b13116
151ca3b1a
hex140c530

21022000 has 80 divisors (see below), whose sum is σ = 53157312. Its totient is φ = 8025600.

The previous prime is 21021997. The next prime is 21022007. The reversal of 21022000 is 22012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45772 + ... + 46228.

Almost surely, 221022000 is an apocalyptic number.

21022000 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 21022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26578656).

21022000 is an abundant number, since it is smaller than the sum of its proper divisors (32135312).

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

21022000 is a wasteful number, since it uses less digits than its factorization.

21022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 21022000 is about 4584.9754634022. The cubic root of 21022000 is about 275.9887273979.

Adding to 21022000 its reverse (22012), we get a palindrome (21044012).

The spelling of 21022000 in words is "twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 457 460 500 575 914 920 1000 1150 1828 1840 2000 2285 2300 2875 3656 4570 4600 5750 7312 9140 9200 10511 11425 11500 18280 21022 22850 23000 36560 42044 45700 46000 52555 57125 84088 91400 105110 114250 168176 182800 210220 228500 262775 420440 457000 525550 840880 914000 1051100 1313875 2102200 2627750 4204400 5255500 10511000 21022000