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22101144 = 2331325449
BaseRepresentation
bin101010001001…
…1110010011000
31112120212001220
41110103302120
521124214034
62105412040
7355566552
oct124236230
945525056
1022101144
1111525a0a
12749a020
13476a900
142d144d2
151e18749
hex1513c98

22101144 has 48 divisors (see below), whose sum is σ = 59841000. Its totient is φ = 6799104.

The previous prime is 22101143. The next prime is 22101151. The reversal of 22101144 is 44110122.

It is a super-2 number, since 2×221011442 = 976921132217472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101143) 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 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 6780.

Almost surely, 222101144 is an apocalyptic number.

22101144 is a gapful number since it is divisible by the number (24) 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 22101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29920500).

22101144 is an abundant number, since it is smaller than the sum of its proper divisors (37739856).

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

22101144 is a wasteful number, since it uses less digits than its factorization.

22101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 22101144 is about 4701.1853824328. The cubic root of 22101144 is about 280.6326849614.

Adding to 22101144 its reverse (44110122), we get a palindrome (66211266).

The spelling of 22101144 in words is "twenty-two million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5449 10898 16347 21796 32694 43592 65388 70837 130776 141674 212511 283348 425022 566696 850044 920881 1700088 1841762 2762643 3683524 5525286 7367048 11050572 22101144