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211141225560 = 23355929822207
BaseRepresentation
bin1100010010100011111…
…1110110110001011000
3202011222210110120210010
43010220333312301120
511424404123204220
6240555201121520
721153163543116
oct3045077666130
9664883416703
10211141225560
11815a9798931
1234b069292a0
1316bab592935
14a30da34ab6
15575b60d1e0
hex3128ff6c58

211141225560 has 64 divisors (see below), whose sum is σ = 644159692800. Its totient is φ = 55350014336.

The previous prime is 211141225553. The next prime is 211141225579. The reversal of 211141225560 is 65522141112.

211141225560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14904024 + ... + 14918183.

It is an arithmetic number, because the mean of its divisors is an integer number (10064995200).

Almost surely, 2211141225560 is an apocalyptic number.

211141225560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141225560 is an abundant number, since it is smaller than the sum of its proper divisors (433018467240).

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

211141225560 is a wasteful number, since it uses less digits than its factorization.

211141225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29822280 (or 29822276 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 211141225560 its reverse (65522141112), we get a palindrome (276663366672).

The spelling of 211141225560 in words is "two hundred eleven billion, one hundred forty-one million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 29822207 59644414 89466621 119288828 149111035 178933242 238577656 298222070 357866484 447333105 596444140 715732968 894666210 1192888280 1759510213 1789332420 3519020426 3578664840 5278530639 7038040852 8797551065 10557061278 14076081704 17595102130 21114122556 26392653195 35190204260 42228245112 52785306390 70380408520 105570612780 211141225560