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22221144 = 23321128057
BaseRepresentation
bin101010011000…
…1000101011000
31112210221200100
41110301011120
521142034034
62112135400
7356606451
oct124610530
945727610
1022221144
11115a8090
127537560
1347b040a
142d46128
151e3e099
hex1531158

22221144 has 48 divisors (see below), whose sum is σ = 65655720. Its totient is φ = 6733440.

The previous prime is 22221109. The next prime is 22221161. The reversal of 22221144 is 44112222.

It is a super-3 number, since 3×222211443 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13237 + ... + 14820.

Almost surely, 222221144 is an apocalyptic number.

22221144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22221144 is an abundant number, since it is smaller than the sum of its proper divisors (43434576).

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

22221144 is a wasteful number, since it uses less digits than its factorization.

22221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28080 (or 28073 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22221144 is about 4713.9308437863. The cubic root of 22221144 is about 281.1396746545.

Adding to 22221144 its reverse (44112222), we get a palindrome (66333366).

The spelling of 22221144 in words is "twenty-two million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 28057 56114 84171 112228 168342 224456 252513 308627 336684 505026 617254 673368 925881 1010052 1234508 1851762 2020104 2469016 2777643 3703524 5555286 7407048 11110572 22221144