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22041144 = 23321072861
BaseRepresentation
bin101010000010…
…1001000111000
31112110210202200
41110011020320
521120304034
62104230200
7355226616
oct124051070
945423680
1022041144
1111494924
12746b360
1347494c8
142cda6b6
151e05a99
hex1505238

22041144 has 48 divisors (see below), whose sum is σ = 60273720. Its totient is φ = 7275840.

The previous prime is 22041139. The next prime is 22041157. The reversal of 22041144 is 44114022.

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

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, 6274 + ... + 9134.

Almost surely, 222041144 is an apocalyptic number.

22041144 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 22041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30136860).

22041144 is an abundant number, since it is smaller than the sum of its proper divisors (38232576).

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

22041144 is a wasteful number, since it uses less digits than its factorization.

22041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2973 counting only the distinct ones).

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

The square root of 22041144 is about 4694.7996762375. The cubic root of 22041144 is about 280.3785017194.

Adding to 22041144 its reverse (44114022), we get a palindrome (66155166).

The spelling of 22041144 in words is "twenty-two million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 2861 3852 5722 7704 8583 11444 17166 22888 25749 34332 51498 68664 102996 205992 306127 612254 918381 1224508 1836762 2449016 2755143 3673524 5510286 7347048 11020572 22041144