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23022144 = 26344441
BaseRepresentation
bin101011111010…
…0101001000000
31121022122110000
41113310221000
521343202034
62141240000
7366453645
oct127645100
947278400
1023022144
1111aa4972
127863000
134a00b92
1430b3dcc
15204b599
hex15f4a40

23022144 has 70 divisors (see below), whose sum is σ = 68260214. Its totient is φ = 7672320.

The previous prime is 23022137. The next prime is 23022161. The reversal of 23022144 is 44122032.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 4359744 = 4320^2 + 2088^2 .

It is a super-2 number, since 2×230221442 = 1060038228713472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2964 + ... + 7404.

Almost surely, 223022144 is an apocalyptic number.

23022144 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 23022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34130107).

23022144 is an abundant number, since it is smaller than the sum of its proper divisors (45238070).

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

23022144 is an equidigital number, since it uses as much as digits as its factorization.

23022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23022144 is about 4798.1396394853. The cubic root of 23022144 is about 284.4779362329.

Adding to 23022144 its reverse (44122032), we get a palindrome (67144176).

The spelling of 23022144 in words is "twenty-three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4441 5184 8882 13323 17764 26646 35528 39969 53292 71056 79938 106584 119907 142112 159876 213168 239814 284224 319752 359721 426336 479628 639504 719442 852672 959256 1279008 1438884 1918512 2558016 2877768 3837024 5755536 7674048 11511072 23022144