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22132000 = 255311503
BaseRepresentation
bin101010001101…
…1010100100000
31112122102101201
41110123110200
521131211000
62110210544
7356055532
oct124332440
945572351
1022132000
1111547110
1274b3a54
13477b977
142d21852
151e2296a
hex151b520

22132000 has 96 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 8032000.

The previous prime is 22131983. The next prime is 22132027. The reversal of 22132000 is 23122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43749 + ... + 44251.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 222132000 is an apocalyptic number.

22132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22132000 is the 2515-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

22132000 is an abundant number, since it is smaller than the sum of its proper divisors (37307744).

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

22132000 is a wasteful number, since it uses less digits than its factorization.

22132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

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

The square root of 22132000 is about 4704.4659633161. The cubic root of 22132000 is about 280.7632238371.

Adding to 22132000 its reverse (23122), we get a palindrome (22155122).

The spelling of 22132000 in words is "twenty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 503 550 800 880 1000 1006 1100 1375 1760 2000 2012 2200 2515 2750 4000 4024 4400 5030 5500 5533 8048 8800 10060 11000 11066 12575 16096 20120 22000 22132 25150 27665 40240 44000 44264 50300 55330 62875 80480 88528 100600 110660 125750 138325 177056 201200 221320 251500 276650 402400 442640 503000 553300 691625 885280 1006000 1106600 1383250 2012000 2213200 2766500 4426400 5533000 11066000 22132000