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2233023144 = 2331121433947
BaseRepresentation
bin1000010100011001…
…0011101010101000
312202121211022212220
42011012103222220
514033123220034
61005325234040
7106223245362
oct20506235250
95677738786
102233023144
11a46535380
12523a02920
13297824691
141727d5d32
15d1091749
hex85193aa8

2233023144 has 64 divisors (see below), whose sum is σ = 6094448640. Its totient is φ = 676186560.

The previous prime is 2233023131. The next prime is 2233023167. The reversal of 2233023144 is 4413203322.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563779 + ... + 567725.

It is an arithmetic number, because the mean of its divisors is an integer number (95225760).

Almost surely, 22233023144 is an apocalyptic number.

2233023144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2233023144 is an abundant number, since it is smaller than the sum of its proper divisors (3861425496).

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

2233023144 is a wasteful number, since it uses less digits than its factorization.

2233023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2233023144 is about 47254.8742882679. The cubic root of 2233023144 is about 1307.0666732562.

Adding to 2233023144 its reverse (4413203322), we get a palindrome (6646226466).

The spelling of 2233023144 in words is "two billion, two hundred thirty-three million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2143 3947 4286 6429 7894 8572 11841 12858 15788 17144 23573 23682 25716 31576 43417 47146 47364 51432 70719 86834 94292 94728 130251 141438 173668 188584 260502 282876 347336 521004 565752 1042008 8458421 16916842 25375263 33833684 50750526 67667368 93042631 101501052 186085262 203002104 279127893 372170524 558255786 744341048 1116511572 2233023144