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22331321144 = 231115111811423
BaseRepresentation
bin10100110011000011…
…001110101100111000
32010122022022122122022
4110303003032230320
5331213304234034
614131525414012
71420251045356
oct246303165470
963568278568
1022331321144
11951a4a3110
1243b286a308
13214b6981c2
14111bb887d6
158aa777b2e
hex5330ceb38

22331321144 has 64 divisors (see below), whose sum is σ = 46051476480. Its totient is φ = 10067760000.

The previous prime is 22331321123. The next prime is 22331321179. The reversal of 22331321144 is 44112313322.

It is a super-2 number, since 2×223313211442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15692417 + ... + 15693839.

It is an arithmetic number, because the mean of its divisors is an integer number (719554320).

Almost surely, 222331321144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22331321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025738240).

22331321144 is an abundant number, since it is smaller than the sum of its proper divisors (23720155336).

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

22331321144 is a wasteful number, since it uses less digits than its factorization.

22331321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 22331321144 its reverse (44112313322), we get a palindrome (66443634466).

The spelling of 22331321144 in words is "twenty-two billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1181 1208 1423 1661 2362 2846 3322 4724 5692 6644 9448 11384 12991 13288 15653 25982 31306 51964 62612 103928 125224 178331 214873 356662 429746 713324 859492 1426648 1680563 1718984 1961641 2363603 3361126 3923282 4727206 6722252 7846564 9454412 13444504 15693128 18486193 18908824 36972386 73944772 147889544 253765013 507530026 1015060052 2030120104 2791415143 5582830286 11165660572 22331321144