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21222323300144 = 2417674399412819
BaseRepresentation
bin1001101001101001101010…
…00010101010011100110000
32210010211112012101202112102
410310310311002222130300
510240201304231101034
6113045222320315532
74320155645445431
oct464646502523460
983124465352472
1021222323300144
116842378268a0a
122469041172ba8
13bac3446b8a85
14535247443488
1526c09476297e
hex134d350aa730

21222323300144 has 160 divisors (see below), whose sum is σ = 44350222118400. Its totient is φ = 9801597358080.

The previous prime is 21222323300137. The next prime is 21222323300203. The reversal of 21222323300144 is 44100332322212.

It is a super-2 number, since 2×212223233001442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7528314767 + ... + 7528317585.

It is an arithmetic number, because the mean of its divisors is an integer number (277188888240).

Almost surely, 221222323300144 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 21222323300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175111059200).

21222323300144 is an abundant number, since it is smaller than the sum of its proper divisors (23127898818256).

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

21222323300144 is a wasteful number, since it uses less digits than its factorization.

21222323300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 21222323300144 its reverse (44100332322212), we get a palindrome (65322655622356).

The spelling of 21222323300144 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twenty-three million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 439 536 878 941 1072 1139 1756 1882 2278 2819 3512 3764 4556 5638 7024 7463 7528 9112 11276 14926 15056 15997 18224 22552 29413 29852 31994 45104 47923 58826 59704 63047 63988 95846 117652 119408 126094 127976 188873 191692 235304 252188 255952 377746 383384 413099 470608 500021 504376 755492 766768 826198 1000042 1008752 1071799 1237541 1510984 1652396 2000084 2143598 2475082 2652679 3021968 3210841 3304792 4000168 4287196 4950164 5305358 6421682 6609584 7022683 8000336 8574392 9900328 10610716 12843364 14045366 17148784 19800656 21038197 21221432 25686728 27677633 28090732 42076394 42442864 45095543 51373456 55355266 56181464 82915247 84152788 90191086 110710532 112362928 165830494 168305576 177729493 180382172 221421064 331660988 336611152 355458986 360764344 442842128 470519761 663321976 710917972 721528688 941039522 1164526081 1326643952 1409559199 1421835944 1882079044 2329052162 2819118398 2843671888 3021401381 3764158088 4658104324 5638236796 6042802762 7528316176 9316208648 11276473592 12085605524 18632417296 19796943377 22552947184 24171211048 39593886754 48342422096 78023247427 79187773508 156046494854 158375547016 312092989708 316751094032 624185979416 1248371958832 1326395206259 2652790412518 5305580825036 10611161650072 21222323300144