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22132020 = 2235616047
BaseRepresentation
bin101010001101…
…1010100110100
31112122102102110
41110123110310
521131211040
62110211020
7356055561
oct124332464
945572373
1022132020
1111547129
1274b3a70
13477b991
142d21868
151e22980
hex151b534

22132020 has 48 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5804160.

The previous prime is 22131983. The next prime is 22132027. The reversal of 22132020 is 2023122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22131987 and 22132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 222132020 is an apocalyptic number.

22132020 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 22132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

22132020 is an abundant number, since it is smaller than the sum of its proper divisors (40863948).

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

22132020 is a wasteful number, since it uses less digits than its factorization.

22132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22132020 is about 4704.4680889554. The cubic root of 22132020 is about 280.7633084094.

Adding to 22132020 its reverse (2023122), we get a palindrome (24155142).

The spelling of 22132020 in words is "twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 6047 12094 18141 24188 30235 36282 60470 72564 90705 120940 181410 362820 368867 737734 1106601 1475468 1844335 2213202 3688670 4426404 5533005 7377340 11066010 22132020