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212838607220 = 22594771112291
BaseRepresentation
bin1100011000111000101…
…0110110100101110100
3202100101002101111200112
43012032022312211310
511441343140412340
6241435434002152
721243224211521
oct3061612664564
9670332344615
10212838607220
118229a932898
12352bb276358
13170bc133495
14a431238148
15580a646065
hex318e2b6974

212838607220 has 24 divisors (see below), whose sum is σ = 446969771808. Its totient is φ = 85133786400.

The previous prime is 212838607211. The next prime is 212838607229. The reversal of 212838607220 is 22706838212.

It is a happy number.

212838607220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212838607211) and next prime (212838607229).

It is a super-2 number, since 2×2128386072202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212838607229) 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 7 ways as a sum of consecutive naturals, for example, 1839275 + ... + 1951565.

It is an arithmetic number, because the mean of its divisors is an integer number (18623740492).

Almost surely, 2212838607220 is an apocalyptic number.

212838607220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212838607220 is an abundant number, since it is smaller than the sum of its proper divisors (234131164588).

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

212838607220 is a wasteful number, since it uses less digits than its factorization.

212838607220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207071 (or 207069 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 212838607220 in words is "two hundred twelve billion, eight hundred thirty-eight million, six hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 94771 112291 189542 224582 379084 449164 473855 561455 947710 1122910 1895420 2245820 10641930361 21283860722 42567721444 53209651805 106419303610 212838607220