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22682020 = 22541139199
BaseRepresentation
bin101011010000…
…1100110100100
31120200100212211
41112201212210
521301311040
62130053204
7363536224
oct126414644
946610784
1022682020
1111892379
12771a204
13491211a
143026084
151ed08ea
hex15a19a4

22682020 has 48 divisors (see below), whose sum is σ = 49392000. Its totient is φ = 8743680.

The previous prime is 22682003. The next prime is 22682021. The reversal of 22682020 is 2028622.

It is a junction number, because it is equal to n+sod(n) for n = 22681982 and 22682000.

It is not an unprimeable number, because it can be changed into a prime (22682021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113881 + ... + 114079.

It is an arithmetic number, because the mean of its divisors is an integer number (1029000).

Almost surely, 222682020 is an apocalyptic number.

22682020 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 22682020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696000).

22682020 is an abundant number, since it is smaller than the sum of its proper divisors (26709980).

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

22682020 is a wasteful number, since it uses less digits than its factorization.

22682020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22682020 is about 4762.5644352596. The cubic root of 22682020 is about 283.0700422219.

The spelling of 22682020 in words is "twenty-two million, six hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 139 164 199 205 278 398 410 556 695 796 820 995 1390 1990 2780 3980 5699 8159 11398 16318 22796 27661 28495 32636 40795 55322 56990 81590 110644 113980 138305 163180 276610 553220 1134101 2268202 4536404 5670505 11341010 22682020