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20226800 = 2452114597
BaseRepresentation
bin100110100101…
…0001011110000
31102001121221202
41031022023300
520134224200
62001310332
7333632156
oct115121360
942047852
1020226800
1110465770
1269353a8
134262729
1429873d6
151b981d5
hex134a2f0

20226800 has 60 divisors (see below), whose sum is σ = 53024136. Its totient is φ = 7353600.

The previous prime is 20226799. The next prime is 20226823. The reversal of 20226800 is 862202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2102 + ... + 6698.

Almost surely, 220226800 is an apocalyptic number.

20226800 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 20226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512068).

20226800 is an abundant number, since it is smaller than the sum of its proper divisors (32797336).

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

20226800 is a wasteful number, since it uses less digits than its factorization.

20226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20226800 is about 4497.4214834725. The cubic root of 20226800 is about 272.4639573012.

The spelling of 20226800 in words is "twenty million, two hundred twenty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4597 9194 18388 22985 36776 45970 50567 73552 91940 101134 114925 183880 202268 229850 252835 367760 404536 459700 505670 809072 919400 1011340 1264175 1838800 2022680 2528350 4045360 5056700 10113400 20226800