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22020000 = 25354367
BaseRepresentation
bin101001111111…
…1111110100000
31112102201202120
41103333332200
521114120000
62103544240
7355111152
oct123777640
945381676
1022020000
111147aa52
12745b080
13473c9b2
142cd2ad2
151dee6a0
hex14fffa0

22020000 has 120 divisors (see below), whose sum is σ = 72426816. Its totient is φ = 5856000.

The previous prime is 22019989. The next prime is 22020023. The reversal of 22020000 is 2022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59817 + ... + 60183.

Almost surely, 222020000 is an apocalyptic number.

22020000 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 22020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36213408).

22020000 is an abundant number, since it is smaller than the sum of its proper divisors (50406816).

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

22020000 is an equidigital number, since it uses as much as digits as its factorization.

22020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 22020000 is about 4692.5472826600. The cubic root of 22020000 is about 280.2888176309.

Adding to 22020000 its reverse (2022), we get a palindrome (22022022).

The spelling of 22020000 in words is "twenty-two million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 367 375 400 480 500 600 625 734 750 800 1000 1101 1200 1250 1468 1500 1835 1875 2000 2202 2400 2500 2936 3000 3670 3750 4000 4404 5000 5505 5872 6000 7340 7500 8808 9175 10000 11010 11744 12000 14680 15000 17616 18350 20000 22020 27525 29360 30000 35232 36700 44040 45875 55050 58720 60000 73400 88080 91750 110100 137625 146800 176160 183500 220200 229375 275250 293600 367000 440400 458750 550500 688125 734000 880800 917500 1101000 1376250 1468000 1835000 2202000 2752500 3670000 4404000 5505000 7340000 11010000 22020000