Search a number
-
+
22116888 = 233531367
BaseRepresentation
bin101010001011…
…1101000011000
31112121122200000
41110113220120
521130220023
62110013000
7355663503
oct124275030
945548600
1022116888
1111536822
1274a7160
134774b21
142d1a13a
151e1d243
hex1517a18

22116888 has 96 divisors (see below), whose sum is σ = 64296960. Its totient is φ = 7115040.

The previous prime is 22116859. The next prime is 22116889. The reversal of 22116888 is 88861122.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22116889) by changing a digit.

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, 60081 + ... + 60447.

It is an arithmetic number, because the mean of its divisors is an integer number (669760).

Almost surely, 222116888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22116888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32148480).

22116888 is an abundant number, since it is smaller than the sum of its proper divisors (42180072).

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

22116888 is a wasteful number, since it uses less digits than its factorization.

22116888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 22116888 is about 4702.8595556321. The cubic root of 22116888 is about 280.6993064339.

The spelling of 22116888 in words is "twenty-two million, one hundred sixteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 367 372 486 558 648 734 744 837 972 1101 1116 1468 1674 1944 2202 2232 2511 2936 3303 3348 4404 5022 6606 6696 7533 8808 9909 10044 11377 13212 15066 19818 20088 22754 26424 29727 30132 34131 39636 45508 59454 60264 68262 79272 89181 91016 102393 118908 136524 178362 204786 237816 273048 307179 356724 409572 614358 713448 819144 921537 1228716 1843074 2457432 2764611 3686148 5529222 7372296 11058444 22116888