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212201368722 = 23272155112
BaseRepresentation
bin1100010110100000101…
…1111110110010010010
3202021201200022102210200
43011220023332302102
511434042022244342
6241252311440030
721221355605400
oct3055013766222
9667650272720
10212201368722
1181aa3160102
1235161986016
131701a0c9c95
14a3b075a470
1557be71e94c
hex31682fec92

212201368722 has 54 divisors (see below), whose sum is σ = 534868545159. Its totient is φ = 60625053720.

The previous prime is 212201368697. The next prime is 212201368727. The reversal of 212201368722 is 227863102212.

212201368722 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 368 + 72 + 2 = 666.

212201368722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 106100684361 + 106100684361 = 325731^2 + 325731^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=325731.

It is not an unprimeable number, because it can be changed into a prime (212201368727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13672947 + ... + 13688457.

Almost surely, 2212201368722 is an apocalyptic number.

212201368722 is an abundant number, since it is smaller than the sum of its proper divisors (322667176437).

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

212201368722 is an frugal number, since it uses more digits than its factorization.

212201368722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31044 (or 15523 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 212201368722 in words is "two hundred twelve billion, two hundred one million, three hundred sixty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 15511 31022 46533 93066 108577 139599 217154 279198 325731 651462 760039 977193 1520078 1954386 2280117 4560234 6840351 13680702 240591121 481182242 721773363 1443546726 1684137847 2165320089 3368275694 4330640178 5052413541 10104827082 11788964929 15157240623 23577929858 30314481246 35366894787 70733789574 106100684361 212201368722