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22132240 = 2451321637
BaseRepresentation
bin101010001101…
…1011000010000
31112122102201121
41110123120100
521131212430
62110212024
7356056324
oct124333020
945572647
1022132240
1111547309
1274b4014
13477bb00
142d21984
151e22a7a
hex151b610

22132240 has 60 divisors (see below), whose sum is σ = 55754244. Its totient is φ = 8166912.

The previous prime is 22132237. The next prime is 22132241. The reversal of 22132240 is 4223122.

It can be written as a sum of positive squares in 6 ways, for example, as 10653696 + 11478544 = 3264^2 + 3388^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22132241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12702 + ... + 14338.

Almost surely, 222132240 is an apocalyptic number.

22132240 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 22132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27877122).

22132240 is an abundant number, since it is smaller than the sum of its proper divisors (33622004).

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

22132240 is a wasteful number, since it uses less digits than its factorization.

22132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22132240 is about 4704.4914709244. The cubic root of 22132240 is about 280.7642387014.

Adding to 22132240 its reverse (4223122), we get a palindrome (26355362).

The spelling of 22132240 in words is "twenty-two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1637 1690 2704 3274 3380 6548 6760 8185 13096 13520 16370 21281 26192 32740 42562 65480 85124 106405 130960 170248 212810 276653 340496 425620 553306 851240 1106612 1383265 1702480 2213224 2766530 4426448 5533060 11066120 22132240