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211212032220 = 22335755876199
BaseRepresentation
bin1100010010110100110…
…1111101100011011100
3202012011201200221021000
43010231031331203130
511430030240012340
6241010210510300
721155013436410
oct3045515754334
9665151627230
10211212032220
118163575aa32
1234b26595390
1316bc0154677
14a3191c6d40
155762947d30
hex312d37d8dc

211212032220 has 96 divisors (see below), whose sum is σ = 750976128000. Its totient is φ = 48277035072.

The previous prime is 211212032219. The next prime is 211212032249. The reversal of 211212032220 is 22230212112.

It is a super-2 number, since 2×2112120322202 (a number of 23 digits) contains 22 as substring.

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 = 211212032193 and 211212032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27934320 + ... + 27941879.

It is an arithmetic number, because the mean of its divisors is an integer number (7822668000).

Almost surely, 2211212032220 is an apocalyptic number.

211212032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212032220 is an abundant number, since it is smaller than the sum of its proper divisors (539764095780).

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

211212032220 is a wasteful number, since it uses less digits than its factorization.

211212032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55876224 (or 55876216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211212032220 its reverse (22230212112), we get a palindrome (233442244332).

The spelling of 211212032220 in words is "two hundred eleven billion, two hundred twelve million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55876199 111752398 167628597 223504796 279380995 335257194 391133393 502885791 558761990 670514388 782266786 838142985 1005771582 1117523980 1173400179 1508657373 1564533572 1676285970 1955666965 2011543164 2346800358 2514428955 3017314746 3352571940 3520200537 3911333930 4693600716 5028857910 5867000895 6034629492 7040401074 7543286865 7822667860 10057715820 10560601611 11734001790 14080802148 15086573730 17601002685 21121203222 23468003580 30173147460 35202005370 42242406444 52803008055 70404010740 105606016110 211212032220