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2222443430144 = 28789131106373
BaseRepresentation
bin100000010101110011111…
…100111000000100000000
321212110111220101220201222
4200111303330320010000
5242403031004231034
64420550523414212
7316365135315020
oct40256374700400
97773456356658
102222443430144
11787595417263
122ba883984368
13131763541a12
14797d157da80
153cc2697212e
hex20573f38100

2222443430144 has 144 divisors (see below), whose sum is σ = 5166100114560. Its totient is φ = 934575882240.

The previous prime is 2222443430113. The next prime is 2222443430183. The reversal of 2222443430144 is 4410343442222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20839742 + ... + 20946114.

It is an arithmetic number, because the mean of its divisors is an integer number (35875695240).

Almost surely, 22222443430144 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 2222443430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583050057280).

2222443430144 is an abundant number, since it is smaller than the sum of its proper divisors (2943656684416).

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

2222443430144 is a wasteful number, since it uses less digits than its factorization.

2222443430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106616 (or 106602 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 2222443430144 its reverse (4410343442222), we get a palindrome (6632786872366).

The spelling of 2222443430144 in words is "two trillion, two hundred twenty-two billion, four hundred forty-three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 131 178 224 256 262 356 448 524 623 712 896 917 1048 1246 1424 1792 1834 2096 2492 2848 3668 4192 4984 5696 7336 8384 9968 11392 11659 14672 16768 19936 22784 23318 29344 33536 39872 46636 58688 79744 81613 93272 106373 117376 159488 163226 186544 212746 234752 326452 373088 425492 652904 744611 746176 850984 1305808 1489222 1492352 1701968 2611616 2978444 2984704 3403936 5223232 5956888 6807872 9467197 10446464 11913776 13615744 13934863 18934394 20892928 23827552 27231488 27869726 37868788 47655104 55739452 66270379 75737576 95310208 97544041 111478904 132540758 151475152 190620416 195088082 222957808 265081516 302950304 390176164 445915616 530163032 605900608 780352328 891831232 1060326064 1211801216 1240202807 1560704656 1783662464 2120652128 2423602432 2480405614 3121409312 3567324928 4241304256 4960811228 6242818624 8482608512 8681419649 9921622456 12485637248 16965217024 17362839298 19843244912 24971274496 34725678596 39686489824 69451357192 79372979648 138902714384 158745959296 277805428768 317491918592 555610857536 1111221715072 2222443430144