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22822020 = 22335133251
BaseRepresentation
bin101011100001…
…1110010000100
31120221110221000
41113003302010
521320301040
62133053300
7364661334
oct127036204
946843830
1022822020
1111978581
127787230
134960a70
1430610c4
15200c130
hex15c3c84

22822020 has 96 divisors (see below), whose sum is σ = 76487040. Its totient is φ = 5616000.

The previous prime is 22822013. The next prime is 22822039. The reversal of 22822020 is 2022822.

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 = 22821984 and 22822002.

It is an unprimeable number.

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, 5395 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (796740).

Almost surely, 222822020 is an apocalyptic number.

22822020 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 22822020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38243520).

22822020 is an abundant number, since it is smaller than the sum of its proper divisors (53665020).

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

22822020 is a wasteful number, since it uses less digits than its factorization.

22822020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22822020 is about 4777.2397888320. The cubic root of 22822020 is about 283.6512448486.

Adding to 22822020 its reverse (2022822), we get a palindrome (24844842).

The spelling of 22822020 in words is "twenty-two million, eight hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3251 3510 6502 7020 9753 13004 16255 19506 29259 32510 39012 42263 48765 58518 65020 84526 87777 97530 117036 126789 146295 169052 175554 195060 211315 253578 292590 351108 380367 422630 438885 507156 585180 633945 760734 845260 877770 1141101 1267890 1521468 1755540 1901835 2282202 2535780 3803670 4564404 5705505 7607340 11411010 22822020