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211422211088 = 241129167248041
BaseRepresentation
bin1100010011100110111…
…1101110110000010000
3202012201101012010110112
43010321233232300100
511430443041223323
6241043115420452
721163145066654
oct3047157566020
9665641163415
10211422211088
1181733365480
1234b84a54728
1316c24863a6a
14a339098a64
155776113178
hex3139beec10

211422211088 has 80 divisors (see below), whose sum is σ = 465048984960. Its totient is φ = 92231193600.

The previous prime is 211422211087. The next prime is 211422211093. The reversal of 211422211088 is 880112224112.

211422211088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211422211087) 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, 728348 + ... + 976388.

It is an arithmetic number, because the mean of its divisors is an integer number (5813112312).

Almost surely, 2211422211088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211422211088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232524492480).

211422211088 is an abundant number, since it is smaller than the sum of its proper divisors (253626773872).

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

211422211088 is a wasteful number, since it uses less digits than its factorization.

211422211088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248256 (or 248250 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 211422211088 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred eleven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 167 176 232 319 334 464 638 668 1276 1336 1837 2552 2672 3674 4843 5104 7348 9686 14696 19372 29392 38744 53273 77488 106546 213092 248041 426184 496082 852368 992164 1984328 2728451 3968656 5456902 7193189 10913804 14386378 21827608 28772756 41422847 43655216 57545512 79125079 82845694 115091024 158250158 165691388 316500316 331382776 455651317 633000632 662765552 911302634 1201262563 1266001264 1822605268 2402525126 3645210536 4805050252 7290421072 9610100504 13213888193 19220201008 26427776386 52855552772 105711105544 211422211088