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22136460 = 22351372693
BaseRepresentation
bin101010001110…
…0011010001100
31112122122111220
41110130122030
521131331320
62110243340
7356104533
oct124343214
945578456
1022136460
111154a4a5
1274b6550
1347809c8
142d2331a
151e23e40
hex151c68c

22136460 has 48 divisors (see below), whose sum is σ = 62457696. Its totient is φ = 5857792.

The previous prime is 22136459. The next prime is 22136479. The reversal of 22136460 is 6463122.

It is a super-2 number, since 2×221364602 = 980045722663200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22136460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6874 + ... + 9566.

It is an arithmetic number, because the mean of its divisors is an integer number (1301202).

Almost surely, 222136460 is an apocalyptic number.

22136460 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 22136460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31228848).

22136460 is an abundant number, since it is smaller than the sum of its proper divisors (40321236).

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

22136460 is a wasteful number, since it uses less digits than its factorization.

22136460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22136460 is about 4704.9399571089. The cubic root of 22136460 is about 280.7820822002.

Adding to 22136460 its reverse (6463122), we get a palindrome (28599582).

The spelling of 22136460 in words is "twenty-two million, one hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2693 2740 4110 5386 8079 8220 10772 13465 16158 26930 32316 40395 53860 80790 161580 368941 737882 1106823 1475764 1844705 2213646 3689410 4427292 5534115 7378820 11068230 22136460