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211222112000 = 28536600691
BaseRepresentation
bin1100010010110111010…
…0011010011100000000
3202012012102200001010012
43010231310122130000
511430040330041000
6241011210524052
721155165220464
oct3045564323400
9665172601105
10211222112000
1181640415029
1234b29a36628
1316bc2273633
14a31a68c4a4
155763789735
hex312dd1a700

211222112000 has 72 divisors (see below), whose sum is σ = 526180763472. Its totient is φ = 84488832000.

The previous prime is 211222111993. The next prime is 211222112029. The reversal of 211222112000 is 211222112.

It is a super-2 number, since 2×2112221120002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268346 + ... + 3332345.

Almost surely, 2211222112000 is an apocalyptic number.

211222112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222112000 is an abundant number, since it is smaller than the sum of its proper divisors (314958651472).

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

211222112000 is an frugal number, since it uses more digits than its factorization.

211222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600722 (or 6600698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211222112000 its reverse (211222112), we get a palindrome (211433334112).

211222112000 divided by its reverse (211222112) gives a cube (1000 = 103).

The spelling of 211222112000 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 6600691 13201382 26402764 33003455 52805528 66006910 105611056 132013820 165017275 211222112 264027640 330034550 422444224 528055280 660069100 825086375 844888448 1056110560 1320138200 1650172750 1689776896 2112221120 2640276400 3300345500 4224442240 5280552800 6600691000 8448884480 10561105600 13201382000 21122211200 26402764000 42244422400 52805528000 105611056000 211222112000