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212000222200 = 235213268930323
BaseRepresentation
bin1100010101110000110…
…0101010101111111000
3202021012122211010122111
43011130030222233320
511433134024102300
6241220324302104
721213364104364
oct3053414525770
9667178733574
10212000222200
11819aa664808
1235106541934
1316cb7530b80
14a391b5a2a4
1557abc3a9ba
hex315c32abf8

212000222200 has 96 divisors (see below), whose sum is σ = 531030855600. Its totient is φ = 78245314560.

The previous prime is 212000222179. The next prime is 212000222249. The reversal of 212000222200 is 2222000212.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976239 + ... + 7006561.

Almost surely, 2212000222200 is an apocalyptic number.

212000222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265515427800).

212000222200 is an abundant number, since it is smaller than the sum of its proper divisors (319030633400).

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

212000222200 is a wasteful number, since it uses less digits than its factorization.

212000222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33041 (or 33032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 212000222200 its reverse (2222000212), we get a palindrome (214222222412).

The spelling of 212000222200 in words is "two hundred twelve billion, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 2689 5378 10756 13445 21512 26890 30323 34957 53780 60646 67225 69914 107560 121292 134450 139828 151615 174785 242584 268900 279656 303230 349570 394199 537800 606460 699140 758075 788398 873925 1212920 1398280 1516150 1576796 1747850 1970995 3032300 3153592 3495700 3941990 6064600 6991400 7883980 9854975 15767960 19709950 39419900 78839800 81538547 163077094 326154188 407692735 652308376 815385470 1060001111 1630770940 2038463675 2120002222 3261541880 4076927350 4240004444 5300005555 8153854700 8480008888 10600011110 16307709400 21200022220 26500027775 42400044440 53000055550 106000111100 212000222200