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22021000 = 235319261
BaseRepresentation
bin101010000000…
…0001110001000
31112102210010121
41110000032020
521114133000
62103553024
7355114111
oct124001610
945383117
1022021000
1111480781
12745b774
1347402a1
142cd3208
151deeb1a
hex1500388

22021000 has 96 divisors (see below), whose sum is σ = 55275480. Its totient is φ = 8208000.

The previous prime is 22020991. The next prime is 22021007. The reversal of 22021000 is 12022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 20448484 = 1254^2 + 4522^2 .

It is not an unprimeable number, because it can be changed into a prime (22021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360970 + ... + 361030.

Almost surely, 222021000 is an apocalyptic number.

22021000 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 22021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740).

22021000 is an abundant number, since it is smaller than the sum of its proper divisors (33254480).

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

22021000 is a wasteful number, since it uses less digits than its factorization.

22021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

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

The square root of 22021000 is about 4692.6538333868. The cubic root of 22021000 is about 280.2930605097.

Adding to 22021000 its reverse (12022), we get a palindrome (22033022).

The spelling of 22021000 in words is "twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 125 152 190 200 244 250 305 361 380 475 488 500 610 722 760 950 1000 1159 1220 1444 1525 1805 1900 2318 2375 2440 2888 3050 3610 3800 4636 4750 5795 6100 7220 7625 9025 9272 9500 11590 12200 14440 15250 18050 19000 22021 23180 28975 30500 36100 44042 45125 46360 57950 61000 72200 88084 90250 110105 115900 144875 176168 180500 220210 231800 289750 361000 440420 550525 579500 880840 1101050 1159000 2202100 2752625 4404200 5505250 11010500 22021000