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22300020 = 22325229541
BaseRepresentation
bin101010100010…
…0010101110100
31112221221212200
41111010111310
521202100040
62113544500
7360355431
oct125042564
945857780
1022300020
1111651376
127575130
13480a2a2
142d66b88
151e57630
hex1544574

22300020 has 72 divisors (see below), whose sum is σ = 68064360. Its totient is φ = 5909760.

The previous prime is 22300013. The next prime is 22300027. The reversal of 22300020 is 2000322.

It is an interprime number because it is at equal distance from previous prime (22300013) and next prime (22300027).

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 16597476 = 2388^2 + 4074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22299975 and 22300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300027) 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 23 ways as a sum of consecutive naturals, for example, 40950 + ... + 41490.

Almost surely, 222300020 is an apocalyptic number.

22300020 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 22300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032180).

22300020 is an abundant number, since it is smaller than the sum of its proper divisors (45764340).

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

22300020 is a wasteful number, since it uses less digits than its factorization.

22300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22300020 is about 4722.2896988643. The cubic root of 22300020 is about 281.4719255801.

Adding to 22300020 its reverse (2000322), we get a palindrome (24300342).

The spelling of 22300020 in words is "twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 541 687 916 1082 1145 1374 1623 2061 2164 2290 2705 2748 3246 3435 4122 4580 4869 5410 6492 6870 8115 8244 9738 10305 10820 13740 16230 19476 20610 24345 32460 41220 48690 97380 123889 247778 371667 495556 619445 743334 1115001 1238890 1486668 1858335 2230002 2477780 3716670 4460004 5575005 7433340 11150010 22300020