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22123041444 = 22327831576737
BaseRepresentation
bin10100100110101000…
…101101001010100100
32010002210101221121100
4110212220231022210
5330301444311234
614055125320100
71412141515050
oct244650551244
963083357540
1022123041444
119422975529
124354b66030
1321174a238a
1410dc24cc60
15897335399
hex526a2d2a4

22123041444 has 144 divisors (see below), whose sum is σ = 65102663808. Its totient is φ = 6204017664.

The previous prime is 22123041433. The next prime is 22123041599. The reversal of 22123041444 is 44414032122.

22123041444 is a `hidden beast` number, since 2 + 212 + 3 + 0 + 4 + 1 + 444 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3280444 + ... + 3287180.

It is an arithmetic number, because the mean of its divisors is an integer number (452101832).

Almost surely, 222123041444 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 22123041444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32551331904).

22123041444 is an abundant number, since it is smaller than the sum of its proper divisors (42979622364).

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

22123041444 is a wasteful number, since it uses less digits than its factorization.

22123041444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22123041444 its reverse (44414032122), we get a palindrome (66537073566).

The spelling of 22123041444 in words is "twenty-two billion, one hundred twenty-three million, forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 157 166 249 252 314 332 471 498 581 628 747 942 996 1099 1162 1413 1494 1743 1884 2198 2324 2826 2988 3297 3486 4396 5229 5652 6594 6737 6972 9891 10458 13031 13188 13474 19782 20211 20916 26062 26948 39093 39564 40422 47159 52124 60633 78186 80844 91217 94318 117279 121266 141477 156372 182434 188636 234558 242532 273651 282954 364868 424431 469116 547302 559171 565908 820953 848862 1057709 1094604 1118342 1641906 1677513 1697724 2115418 2236684 3173127 3283812 3355026 3914197 4230836 5032539 6346254 6710052 7403963 7828394 9519381 10065078 11742591 12692508 14807926 15656788 19038762 20130156 22211889 23485182 29615852 35227773 38077524 44423778 46970364 66635667 70455546 87789847 88847556 133271334 140911092 175579694 263369541 266542668 351159388 526739082 614528929 790108623 1053478164 1229057858 1580217246 1843586787 2458115716 3160434492 3687173574 5530760361 7374347148 11061520722 22123041444