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22135140 = 22335179229
BaseRepresentation
bin101010001110…
…0000101100100
31112122120201000
41110130011210
521131311030
62110233300
7356100636
oct124340544
945576630
1022135140
1111549505
1274b5830
134780221
142d22a56
151e23860
hex151c164

22135140 has 96 divisors (see below), whose sum is σ = 69552000. Its totient is φ = 5844096.

The previous prime is 22135103. The next prime is 22135163. The reversal of 22135140 is 4153122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96546 + ... + 96774.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 222135140 is an apocalyptic number.

22135140 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 22135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776000).

22135140 is an abundant number, since it is smaller than the sum of its proper divisors (47416860).

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

22135140 is a wasteful number, since it uses less digits than its factorization.

22135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22135140 is about 4704.7996769257. The cubic root of 22135140 is about 280.7765010652.

Adding to 22135140 its reverse (4153122), we get a palindrome (26288262).

The spelling of 22135140 in words is "twenty-two million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 229 270 358 458 537 540 687 716 895 916 1074 1145 1374 1611 1790 2061 2148 2290 2685 2748 3222 3435 3580 4122 4580 4833 5370 6183 6444 6870 8055 8244 9666 10305 10740 12366 13740 16110 19332 20610 24165 24732 30915 32220 40991 41220 48330 61830 81982 96660 122973 123660 163964 204955 245946 368919 409910 491892 614865 737838 819820 1106757 1229730 1475676 1844595 2213514 2459460 3689190 4427028 5533785 7378380 11067570 22135140