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223440144 = 24323919477
BaseRepresentation
bin11010101000101…
…10110100010000
3120120102221020220
431110112310100
5424200041034
634101033040
75352131664
oct1524266420
9516387226
10223440144
11105142984
12629b5780
13373a3505
14219648a4
1514939749
hexd516d10

223440144 has 40 divisors (see below), whose sum is σ = 579665280. Its totient is φ = 74164608.

The previous prime is 223440143. The next prime is 223440167. The reversal of 223440144 is 441044322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (223440143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734 + ... + 21210.

It is an arithmetic number, because the mean of its divisors is an integer number (14491632).

Almost surely, 2223440144 is an apocalyptic number.

223440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223440144 is an abundant number, since it is smaller than the sum of its proper divisors (356225136).

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

223440144 is a wasteful number, since it uses less digits than its factorization.

223440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 223440144 is about 14947.9143695701. The cubic root of 223440144 is about 606.8114042348.

Adding to 223440144 its reverse (441044322), we get a palindrome (664484466).

The spelling of 223440144 in words is "two hundred twenty-three million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 19477 38954 58431 77908 116862 155816 233724 311632 467448 934896 4655003 9310006 13965009 18620012 27930018 37240024 55860036 74480048 111720072 223440144