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212201220200 = 23527537140773
BaseRepresentation
bin1100010110100000101…
…1011010100001101000
3202021201200000220001212
43011220023122201220
511434042003021300
6241252304332252
721221354416364
oct3055013324150
9667650026055
10212201220200
1181aa3069562
1235161914088
131701a0774b8
14a3b071c2a4
1557be6e0935
hex31682da868

212201220200 has 48 divisors (see below), whose sum is σ = 493436801580. Its totient is φ = 84868623360.

The previous prime is 212201220193. The next prime is 212201220211. The reversal of 212201220200 is 2022102212.

It can be written as a sum of positive squares in 6 ways, for example, as 107480376964 + 104720843236 = 327842^2 + 323606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437014 + ... + 1577786.

Almost surely, 2212201220200 is an apocalyptic number.

212201220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201220200 is an abundant number, since it is smaller than the sum of its proper divisors (281235581380).

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

212201220200 is a wasteful number, since it uses less digits than its factorization.

212201220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148326 (or 148317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212201220200 its reverse (2022102212), we get a palindrome (214223322412).

The spelling of 212201220200 in words is "two hundred twelve billion, two hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7537 15074 30148 37685 60296 75370 140773 150740 188425 281546 301480 376850 563092 703865 753700 1126184 1407730 1507400 2815460 3519325 5630920 7038650 14077300 28154600 1061006101 2122012202 4244024404 5305030505 8488048808 10610061010 21220122020 26525152525 42440244040 53050305050 106100610100 212201220200