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20221300 = 22521131593
BaseRepresentation
bin100110100100…
…0110101110100
31102001100102001
41031020311310
520134040200
62001225044
7333610141
oct115106564
942040361
1020221300
1110461620
126932184
134260088
1429853c8
151b9676a
hex1348d74

20221300 has 72 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 7104000.

The previous prime is 20221283. The next prime is 20221307. The reversal of 20221300 is 312202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33804 + ... + 34396.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 220221300 is an apocalyptic number.

20221300 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 20221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

20221300 is an abundant number, since it is smaller than the sum of its proper divisors (29275532).

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

20221300 is a wasteful number, since it uses less digits than its factorization.

20221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

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

The square root of 20221300 is about 4496.8099804195. The cubic root of 20221300 is about 272.4392592503.

Adding to 20221300 its reverse (312202), we get a palindrome (20533502).

The spelling of 20221300 in words is "twenty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 593 620 682 775 1100 1186 1364 1550 1705 2372 2965 3100 3410 5930 6523 6820 8525 11860 13046 14825 17050 18383 26092 29650 32615 34100 36766 59300 65230 73532 91915 130460 163075 183830 202213 326150 367660 404426 459575 652300 808852 919150 1011065 1838300 2022130 4044260 5055325 10110650 20221300