Search a number
-
+
22136100 = 22352783127
BaseRepresentation
bin101010001110…
…0010100100100
31112122122000120
41110130110210
521131323400
62110241540
7356103510
oct124342444
945578016
1022136100
111154a1a8
1274b62b0
1347807ac
142d23140
151e23ca0
hex151c524

22136100 has 144 divisors (see below), whose sum is σ = 74661888. Its totient is φ = 4959360.

The previous prime is 22136087. The next prime is 22136117. The reversal of 22136100 is 163122.

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 22136100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174237 + ... + 174363.

Almost surely, 222136100 is an apocalyptic number.

22136100 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 22136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37330944).

22136100 is an abundant number, since it is smaller than the sum of its proper divisors (52525788).

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

22136100 is a wasteful number, since it uses less digits than its factorization.

22136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 22136100 is about 4704.9016992919. The cubic root of 22136100 is about 280.7805600944.

Adding to 22136100 its reverse (163122), we get a palindrome (22299222).

The spelling of 22136100 in words is "twenty-two million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 83 84 100 105 127 140 150 166 175 210 249 254 300 332 350 381 415 420 498 508 525 581 635 700 762 830 889 996 1050 1162 1245 1270 1524 1660 1743 1778 1905 2075 2100 2324 2490 2540 2667 2905 3175 3486 3556 3810 4150 4445 4980 5334 5810 6225 6350 6972 7620 8300 8715 8890 9525 10541 10668 11620 12450 12700 13335 14525 17430 17780 19050 21082 22225 24900 26670 29050 31623 34860 38100 42164 43575 44450 52705 53340 58100 63246 66675 73787 87150 88900 105410 126492 133350 147574 158115 174300 210820 221361 263525 266700 295148 316230 368935 442722 527050 632460 737870 790575 885444 1054100 1106805 1475740 1581150 1844675 2213610 3162300 3689350 4427220 5534025 7378700 11068050 22136100