Search a number
-
+
22219236 = 223213197241
BaseRepresentation
bin101010011000…
…0100111100100
31112210212001200
41110300213210
521142003421
62112122500
7356601054
oct124604744
945725050
1022219236
11115a6706
127536430
1347ac5a0
142d45564
151e3d726
hex15309e4

22219236 has 72 divisors (see below), whose sum is σ = 61044984. Its totient is φ = 6773760.

The previous prime is 22219217. The next prime is 22219247. The reversal of 22219236 is 63291222.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 14062500 = 2856^2 + 3750^2 .

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 92076 + ... + 92316.

It is an arithmetic number, because the mean of its divisors is an integer number (847847).

Almost surely, 222219236 is an apocalyptic number.

22219236 is a gapful number since it is divisible by the number (26) 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 22219236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30522492).

22219236 is an abundant number, since it is smaller than the sum of its proper divisors (38825748).

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

22219236 is a wasteful number, since it uses less digits than its factorization.

22219236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 22219236 is about 4713.7284605713. The cubic root of 22219236 is about 281.1316278163.

The spelling of 22219236 in words is "twenty-two million, two hundred nineteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 241 394 468 482 591 723 788 964 1182 1446 1773 2169 2364 2561 2892 3133 3546 4338 5122 6266 7092 7683 8676 9399 10244 12532 15366 18798 23049 28197 30732 37596 46098 47477 56394 92196 94954 112788 142431 189908 284862 427293 569724 617201 854586 1234402 1709172 1851603 2468804 3703206 5554809 7406412 11109618 22219236