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22020240 = 24351119439
BaseRepresentation
bin101010000000…
…0000010010000
31112102202002110
41110000002100
521114121430
62103545320
7355111644
oct124000220
945382073
1022020240
1111480150
12745b240
13473cb38
142cd2c24
151dee7b0
hex1500090

22020240 has 160 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 5045760.

The previous prime is 22020227. The next prime is 22020277. The reversal of 22020240 is 4202022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49941 + ... + 50379.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 222020240 is an apocalyptic number.

22020240 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 22020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

22020240 is an abundant number, since it is smaller than the sum of its proper divisors (56546160).

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

22020240 is a wasteful number, since it uses less digits than its factorization.

22020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22020240 is about 4692.5728550551. The cubic root of 22020240 is about 280.2898359335.

Adding to 22020240 its reverse (4202022), we get a palindrome (26222262).

The spelling of 22020240 in words is "twenty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 439 440 456 528 570 627 660 760 836 878 880 912 1045 1140 1254 1317 1320 1520 1672 1756 2090 2195 2280 2508 2634 2640 3135 3344 3512 4180 4390 4560 4829 5016 5268 6270 6585 7024 8341 8360 8780 9658 10032 10536 12540 13170 14487 16682 16720 17560 19316 21072 24145 25023 25080 26340 28974 33364 35120 38632 41705 48290 50046 50160 52680 57948 66728 72435 77264 83410 91751 96580 100092 105360 115896 125115 133456 144870 166820 183502 193160 200184 231792 250230 275253 289740 333640 367004 386320 400368 458755 500460 550506 579480 667280 734008 917510 1000920 1101012 1158960 1376265 1468016 1835020 2001840 2202024 2752530 3670040 4404048 5505060 7340080 11010120 22020240