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212202222320312 = 23723415573721043
BaseRepresentation
bin110000001111111100101110…
…000101001111101010111000
31000211100100000201200102012222
4300033330232011033222320
5210303210122403222222
62031152204413423212
762461050613565150
oct6017745605175270
91024310021612188
10212202222320312
1161683503443504
121b972266a9ab08
139153778515863
143a588dc8d1760
15197ed005ae542
hexc0ff2e14fab8

212202222320312 has 128 divisors (see below), whose sum is σ = 486150246005760. Its totient is φ = 84852684026880.

The previous prime is 212202222320299. The next prime is 212202222320327. The reversal of 212202222320312 is 213023222202212.

It is a congruent number.

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, 293938463 + ... + 294659505.

It is an arithmetic number, because the mean of its divisors is an integer number (3798048796920).

Almost surely, 2212202222320312 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 212202222320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243075123002880).

212202222320312 is an abundant number, since it is smaller than the sum of its proper divisors (273948023685448).

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

212202222320312 is a wasteful number, since it uses less digits than its factorization.

212202222320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726693 (or 726689 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212202222320312 its reverse (213023222202212), we get a palindrome (425225444522524).

The spelling of 212202222320312 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty-two million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 644 943 1148 1288 1886 2296 3772 5573 6601 7544 11146 13202 22292 26404 39011 44584 52808 78022 128179 156044 228493 256358 312088 456986 512716 721043 897253 913972 1025432 1442086 1599451 1794506 1827944 2884172 3198902 3589012 5047301 5255339 5768344 6397804 7178024 10094602 10510678 12795608 16583989 20189204 21021356 29562763 33167978 36787373 40378408 42042712 59125526 66335956 73574746 116087923 118251052 132671912 147149492 206939341 232175846 236502104 294298984 413878682 464351692 679943549 827757364 928703384 1359887098 1655514728 2719774196 4018372639 4759604843 5439548392 8036745278 9519209686 16073490556 19038419372 28128608473 32146981112 38076838744 56257216946 92422570697 112514433892 164753278199 184845141394 225028867784 329506556398 369690282788 646957994879 659013112796 739380565576 1153272947393 1293915989758 1318026225592 2306545894786 2587831979516 3789325398577 4613091789572 5175663959032 7578650797154 9226183579144 15157301594308 26525277790039 30314603188616 53050555580078 106101111160156 212202222320312