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22220010002112 = 2631367031328099
BaseRepresentation
bin1010000110101011111111…
…10011011001011011000000
32220200012201200221110200120
411003111333303121123000
510403023040030031422
6115131422013020240
74452225363466356
oct503257763313300
986605650843616
1022220010002112
1170974a940a84a
1225aa478484680
13c524516346c0
1456b6505597d6
15287ed7d7c45c
hex14357fcd96c0

22220010002112 has 112 divisors (see below), whose sum is σ = 63322278028800. Its totient is φ = 6835901027328.

The previous prime is 22220010001997. The next prime is 22220010002119. The reversal of 22220010002112 is 21120001002222.

It is a junction number, because it is equal to n+sod(n) for n = 22220010002091 and 22220010002100.

It is not an unprimeable number, because it can be changed into a prime (22220010002119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16066639 + ... + 17394737.

It is an arithmetic number, because the mean of its divisors is an integer number (565377482400).

Almost surely, 222220010002112 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 22220010002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31661139014400).

22220010002112 is an abundant number, since it is smaller than the sum of its proper divisors (41102268026688).

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

22220010002112 is a wasteful number, since it uses less digits than its factorization.

22220010002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334830 (or 1334820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22220010002112 its reverse (21120001002222), we get a palindrome (43340011004334).

The spelling of 22220010002112 in words is "twenty-two trillion, two hundred twenty billion, ten million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 6703 13406 20109 26812 40218 53624 80436 87139 107248 160872 174278 214496 261417 321744 348556 428992 522834 643488 697112 1045668 1286976 1328099 1394224 2091336 2656198 2788448 3984297 4182672 5312396 5576896 7968594 8365344 10624792 15937188 16730688 17265287 21249584 31874376 34530574 42499168 51795861 63748752 69061148 84998336 103591722 127497504 138122296 207183444 254995008 276244592 414366888 552489184 828733776 1104978368 1657467552 3314935104 8902247597 17804495194 26706742791 35608990388 53413485582 71217980776 106826971164 115729218761 142435961552 213653942328 231458437522 284871923104 347187656283 427307884656 462916875044 569743846208 694375312566 854615769312 925833750088 1388750625132 1709231538624 1851667500176 2777501250264 3703335000352 5555002500528 7406670000704 11110005001056 22220010002112