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212233100220 = 223251517808429
BaseRepresentation
bin1100010110101000010…
…1000001101110111100
3202021210220000120020100
43011222011001232330
511434123133201340
6241255403521100
721222222405141
oct3055205015674
9667726016210
10212233100220
118200a063489
1235170529190
131702385a10b
14a3b4a5a3c8
1557c23db830
hex316a141bbc

212233100220 has 72 divisors (see below), whose sum is σ = 648037222560. Its totient is φ = 56220681600.

The previous prime is 212233100207. The next prime is 212233100237. The reversal of 212233100220 is 22001332212.

212233100220 is a `hidden beast` number, since 212 + 233 + 1 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212233100193 and 212233100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877035 + ... + 3931394.

It is an arithmetic number, because the mean of its divisors is an integer number (9000516980).

Almost surely, 2212233100220 is an apocalyptic number.

212233100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233100220 is an abundant number, since it is smaller than the sum of its proper divisors (435804122340).

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

212233100220 is a wasteful number, since it uses less digits than its factorization.

212233100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808595 (or 7808590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212233100220 its reverse (22001332212), we get a palindrome (234234432432).

The spelling of 212233100220 in words is "two hundred twelve billion, two hundred thirty-three million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 27180 7808429 15616858 23425287 31233716 39042145 46850574 70275861 78084290 93701148 117126435 140551722 156168580 234252870 281103444 351379305 468505740 702758610 1179072779 1405517220 2358145558 3537218337 4716291116 5895363895 7074436674 10611655011 11790727790 14148873348 17686091685 21223310022 23581455580 35372183370 42446620044 53058275055 70744366740 106116550110 212233100220