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212300223322230 = 2325193105131162583
BaseRepresentation
bin110000010001010111111111…
…011001011001100001110110
31000211200200222120212010121200
4300101113333121121201312
5210311311324132302410
62031305213131153330
762501120305424001
oct6021277731314166
91024620876763550
10212300223322230
116171102345677a
121b9892572a5846
13915ca95b3bca4
143a5d558278538
1519826390833c0
hexc115ff659876

212300223322230 has 96 divisors (see below), whose sum is σ = 554893837557696. Its totient is φ = 56314653622272.

The previous prime is 212300223322081. The next prime is 212300223322237. The reversal of 212300223322230 is 32223322003212.

212300223322230 is a `hidden beast` number, since 2 + 1 + 2 + 300 + 2 + 2 + 3 + 322 + 2 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212300223322194 and 212300223322203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300223322237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182029519 + ... + 183192101.

It is an arithmetic number, because the mean of its divisors is an integer number (5780144141226).

Almost surely, 2212300223322230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212300223322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277446918778848).

212300223322230 is an abundant number, since it is smaller than the sum of its proper divisors (342593614235466).

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

212300223322230 is a wasteful number, since it uses less digits than its factorization.

212300223322230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173302 (or 1173299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 212300223322230 its reverse (32223322003212), we get a palindrome (244523545325442).

The spelling of 212300223322230 in words is "two hundred twelve trillion, three hundred billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8685 10513 17370 21026 31539 52565 63078 94617 105130 157695 189234 315390 473085 946170 1162583 2029009 2325166 3487749 4058018 5812915 6087027 6975498 10145045 10463247 11625830 12174054 17438745 18261081 20290090 20926494 30435135 34877490 36522162 52316235 60870270 91305405 104632470 182610810 224378519 448757038 673135557 1121892595 1346271114 2019406671 2243785190 3365677785 4038813342 6731355570 10097033355 12222235079 20194066710 24444470158 36666705237 61111175395 73333410474 110000115711 122222350790 183333526185 220000231422 366667052370 550000578555 1100001157110 2358891370247 4717782740494 7076674110741 11794456851235 14153348221482 21230022332223 23588913702470 35383370553705 42460044664446 70766741107410 106150111661115 212300223322230