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200122226969712 = 24311397742198951
BaseRepresentation
bin101101100000001010010110…
…010000000000110001110000
3222020120111110002020110012120
4231200022112100000301300
5202212300310101012322
61545342514253354240
760103232225364135
oct5540122620006160
9866514402213176
10200122226969712
11588463a5a48803
121a541040a98980
1387885a295b4b8
14375bd78a2858c
1518209897dca5c
hexb60296400c70

200122226969712 has 160 divisors (see below), whose sum is σ = 522273410219520. Its totient is φ = 66026371891200.

The previous prime is 200122226969633. The next prime is 200122226969713. The reversal of 200122226969712 is 217969622221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122226969713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22357522837 + ... + 22357531787.

It is an arithmetic number, because the mean of its divisors is an integer number (3264208813872).

Almost surely, 2200122226969712 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 200122226969712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261136705109760).

200122226969712 is an abundant number, since it is smaller than the sum of its proper divisors (322151183249808).

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

200122226969712 is a wasteful number, since it uses less digits than its factorization.

200122226969712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271 (or 14265 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 200122226969712 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twenty-six million, nine hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 977 1356 1808 1954 2712 2931 3908 4219 5424 5862 7816 8438 8951 11724 12657 15632 16876 17902 23448 25314 26853 33752 35804 46896 50628 53706 67504 71608 101256 107412 110401 143216 202512 214824 220802 331203 429648 441604 476747 662406 883208 953494 1011463 1324812 1430241 1766416 1906988 2022926 2649624 2860482 3034389 3813976 4045852 4121963 5299248 5720964 6068778 7627952 8091704 8243926 8745127 11441928 12137556 12365889 16183408 16487852 17490254 22883856 24275112 24731778 26235381 32975704 34980508 37764269 48550224 49463556 52470762 65951408 69961016 75528538 98927112 104941524 113292807 139922032 151057076 197854224 209883048 226585614 302114152 419766096 453171228 465781819 604228304 906342456 931563638 988199351 1397345457 1812684912 1863127276 1976398702 2794690914 2964598053 3726254552 3952797404 4267362397 5589381828 5929196106 7452509104 7905594808 8534724794 11178763656 11858392212 12802087191 15811189616 17069449588 22357527312 23716784424 25604174382 34138899176 36895690813 47433568848 51208348764 68277798352 73791381626 102416697528 110687072439 147582763252 204833395056 221374144878 295165526504 442748289756 590331053008 885496579512 1770993159024 4169213061869 8338426123738 12507639185607 16676852247476 25015278371214 33353704494952 50030556742428 66707408989904 100061113484856 200122226969712