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22132500 = 2235413227
BaseRepresentation
bin101010001101…
…1011100010100
31112122110002020
41110123130110
521131220000
62110213140
7356060145
oct124333424
945573066
1022132500
1111547525
1274b41b0
13477bc70
142d21acc
151e22ba0
hex151b714

22132500 has 120 divisors (see below), whose sum is σ = 69802656. Its totient is φ = 5424000.

The previous prime is 22132483. The next prime is 22132501. The reversal of 22132500 is 523122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22132500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97387 + ... + 97613.

Almost surely, 222132500 is an apocalyptic number.

22132500 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 22132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34901328).

22132500 is an abundant number, since it is smaller than the sum of its proper divisors (47670156).

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

22132500 is a wasteful number, since it uses less digits than its factorization.

22132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22132500 is about 4704.5191040105. The cubic root of 22132500 is about 280.7653381295.

Adding to 22132500 its reverse (523122), we get a palindrome (22655622).

The spelling of 22132500 in words is "twenty-two million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 227 250 260 300 325 375 390 454 500 625 650 681 750 780 908 975 1135 1250 1300 1362 1500 1625 1875 1950 2270 2500 2724 2951 3250 3405 3750 3900 4540 4875 5675 5902 6500 6810 7500 8125 8853 9750 11350 11804 13620 14755 16250 17025 17706 19500 22700 24375 28375 29510 32500 34050 35412 44265 48750 56750 59020 68100 73775 85125 88530 97500 113500 141875 147550 170250 177060 221325 283750 295100 340500 368875 425625 442650 567500 737750 851250 885300 1106625 1475500 1702500 1844375 2213250 3688750 4426500 5533125 7377500 11066250 22132500