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212200320040032 = 2534153912682937
BaseRepresentation
bin110000001111111010111100…
…101100100111110001100000
31000211100011010011012120020210
4300033322330230213301200
5210303142223412240112
62031151251541134120
762460652514510412
oct6017727454476140
91024304104176223
10212200320040032
1161682717680145
121b971a159ba340
13915353439411c
143a5879bdd29b2
15197ec3d5a0b3c
hexc0febcb27c60

212200320040032 has 48 divisors (see below), whose sum is σ = 570611836215792. Its totient is φ = 69008234158080.

The previous prime is 212200320040031. The next prime is 212200320040039. The reversal of 212200320040032 is 230040023002212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2122003200400322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212200320039990 and 212200320040008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200320040031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26956337533 + ... + 26956345404.

It is an arithmetic number, because the mean of its divisors is an integer number (11887746587829).

Almost surely, 2212200320040032 is an apocalyptic number.

It is an amenable number.

212200320040032 is an abundant number, since it is smaller than the sum of its proper divisors (358411516175760).

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

212200320040032 is a wasteful number, since it uses less digits than its factorization.

212200320040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53912682991 (or 53912682983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212200320040032 its reverse (230040023002212), we get a palindrome (442240343042244).

The spelling of 212200320040032 in words is "two hundred twelve trillion, two hundred billion, three hundred twenty million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 53912682937 107825365874 161738048811 215650731748 323476097622 431301463496 646952195244 862602926992 1293904390488 1725205853984 2210420000417 2587808780976 4420840000834 5175617561952 6631260001251 8841680001668 13262520002502 17683360003336 26525040005004 35366720006672 53050080010008 70733440013344 106100160020016 212200320040032