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20213200 = 245277219
BaseRepresentation
bin100110100011…
…0110111010000
31102000221022001
41031012313100
520133310300
62001123344
7333544420
oct115066720
942027261
1020213200
1110456527
126929554
134259497
142982480
151b9416a
hex1346dd0

20213200 has 60 divisors (see below), whose sum is σ = 55507360. Its totient is φ = 6929280.

The previous prime is 20213197. The next prime is 20213233. The reversal of 20213200 is 231202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810 + ... + 6409.

Almost surely, 220213200 is an apocalyptic number.

20213200 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 20213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27753680).

20213200 is an abundant number, since it is smaller than the sum of its proper divisors (35294160).

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

20213200 is a wasteful number, since it uses less digits than its factorization.

20213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20213200 is about 4495.9092517532. The cubic root of 20213200 is about 272.4028776013.

Adding to 20213200 its reverse (231202), we get a palindrome (20444402).

The spelling of 20213200 in words is "twenty million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7219 14438 28876 36095 50533 57752 72190 101066 115504 144380 180475 202132 252665 288760 360950 404264 505330 577520 721900 808528 1010660 1263325 1443800 2021320 2526650 2887600 4042640 5053300 10106600 20213200