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211222002112 = 2611436977471
BaseRepresentation
bin1100010010110111001…
…1111111100111000000
3202012012102110110101021
43010231303333213000
511430040313031422
6241011204315224
721155164252222
oct3045563774700
9665172413337
10211222002112
118164034a510
1234b299a2b14
1316bc2235604
14a31a660412
155763766dc7
hex312dcff9c0

211222002112 has 56 divisors (see below), whose sum is σ = 467881362432. Its totient is φ = 93777196800.

The previous prime is 211222002007. The next prime is 211222002113. The reversal of 211222002112 is 211200222112.

It is a happy number.

It is a super-2 number, since 2×2112220021122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3458464 + ... + 3519007.

Almost surely, 2211222002112 is an apocalyptic number.

211222002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211222002112 is an abundant number, since it is smaller than the sum of its proper divisors (256659360320).

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

211222002112 is a wasteful number, since it uses less digits than its factorization.

211222002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977537 (or 6977527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211222002112 its reverse (211200222112), we get a palindrome (422422224224).

The spelling of 211222002112 in words is "two hundred eleven billion, two hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 15136 30272 6977471 13954942 27909884 55819768 76752181 111639536 153504362 223279072 300031253 307008724 446558144 600062506 614017448 1200125012 1228034896 2400250024 2456069792 3300343783 4800500048 4912139584 6600687566 9601000096 13201375132 19202000192 26402750264 52805500528 105611001056 211222002112