Search a number
-
+
212133302220 = 22357975207003
BaseRepresentation
bin1100010110010000100…
…0010100111111001100
3202021112221020022010010
43011210020110333030
511433422111132340
6241241440513220
721216601213650
oct3054410247714
9667487208103
10212133302220
1181a6879a7a4
123514301b810
1317008c87548
14a3a56bca60
1557b8776b80
hex3164214fcc

212133302220 has 96 divisors (see below), whose sum is σ = 685824910848. Its totient is φ = 47987730432.

The previous prime is 212133302191. The next prime is 212133302237. The reversal of 212133302220 is 22203331212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562762 + ... + 2644241.

It is an arithmetic number, because the mean of its divisors is an integer number (7144009488).

Almost surely, 2212133302220 is an apocalyptic number.

212133302220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133302220 is an abundant number, since it is smaller than the sum of its proper divisors (473691608628).

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

212133302220 is a wasteful number, since it uses less digits than its factorization.

212133302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207119 (or 5207117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212133302220 its reverse (22203331212), we get a palindrome (234336633432).

The spelling of 212133302220 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 40740 5207003 10414006 15621009 20828012 26035015 31242018 36449021 52070030 62484036 72898042 78105045 104140060 109347063 145796084 156210090 182245105 218694126 312420180 364490210 437388252 505079291 546735315 728980420 1010158582 1093470630 1515237873 2020317164 2186941260 2525396455 3030475746 3535555037 5050792910 6060951492 7071110074 7576189365 10101585820 10606665111 14142220148 15152378730 17677775185 21213330222 30304757460 35355550370 42426660444 53033325555 70711100740 106066651110 212133302220