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22404144 = 2437131509
BaseRepresentation
bin101010101110…
…1110000110000
31120011020201010
41111131300300
521213413034
62120110520
7361301130
oct125356060
946136633
1022404144
1111712624
127605440
1348457b9
142d92ac0
151e783e9
hex155dc30

22404144 has 80 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 6339840.

The previous prime is 22404143. The next prime is 22404149. The reversal of 22404144 is 44140422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22404144.

It is not an unprimeable number, because it can be changed into a prime (22404143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43762 + ... + 44270.

It is an arithmetic number, because the mean of its divisors is an integer number (834768).

Almost surely, 222404144 is an apocalyptic number.

22404144 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 22404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

22404144 is an abundant number, since it is smaller than the sum of its proper divisors (44377296).

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

22404144 is a wasteful number, since it uses less digits than its factorization.

22404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 22404144 is about 4733.3015961377. The cubic root of 22404144 is about 281.9093315476.

Adding to 22404144 its reverse (44140422), we get a palindrome (66544566).

The spelling of 22404144 in words is "twenty-two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 509 524 786 917 1018 1048 1527 1572 1834 2036 2096 2751 3054 3144 3563 3668 4072 5502 6108 6288 7126 7336 8144 10689 11004 12216 14252 14672 21378 22008 24432 28504 42756 44016 57008 66679 85512 133358 171024 200037 266716 400074 466753 533432 800148 933506 1066864 1400259 1600296 1867012 2800518 3200592 3734024 5601036 7468048 11202072 22404144