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211212440440 = 235139186720347
BaseRepresentation
bin1100010010110100111…
…1100001001101111000
3202012011202110200020021
43010231033201031320
511430030341043230
6241010223340224
721155020056511
oct3045517411570
9665152420207
10211212440440
1181635a09701
1234b26751674
1316bc0268411
14a319291a08
1557629c8c7a
hex312d3e1378

211212440440 has 64 divisors (see below), whose sum is σ = 478926806400. Its totient is φ = 83828124288.

The previous prime is 211212440437. The next prime is 211212440441. The reversal of 211212440440 is 44044212112.

It is a happy number.

211212440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112124404402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212440441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10370347 + ... + 10390693.

It is an arithmetic number, because the mean of its divisors is an integer number (7483231350).

Almost surely, 2211212440440 is an apocalyptic number.

211212440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212440440 is an abundant number, since it is smaller than the sum of its proper divisors (267714365960).

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

211212440440 is a wasteful number, since it uses less digits than its factorization.

211212440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22364 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 211212440440 its reverse (44044212112), we get a palindrome (255256652552).

The spelling of 211212440440 in words is "two hundred eleven billion, two hundred twelve million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 1867 2780 3734 5560 7468 9335 14936 18670 20347 37340 40694 74680 81388 101735 162776 203470 259513 406940 519026 813880 1038052 1297565 2076104 2595130 2828233 5190260 5656466 10380520 11312932 14141165 22625864 28282330 37987849 56564660 75975698 113129320 151951396 189939245 303902792 379878490 759756980 1519513960 5280311011 10560622022 21121244044 26401555055 42242488088 52803110110 105606220220 211212440440