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211422201144 = 233711365931267
BaseRepresentation
bin1100010011100110111…
…1101100010100111000
3202012201101011121211020
43010321233230110320
511430443040414034
6241043115302440
721163145025660
oct3047157542470
9665641147736
10211422201144
1181733358a60
1234b84a4aa20
1316c2485c38b
14a3390951a0
155776110249
hex3139bec538

211422201144 has 128 divisors (see below), whose sum is σ = 659179468800. Its totient is φ = 54898093440.

The previous prime is 211422201131. The next prime is 211422201161. The reversal of 211422201144 is 441102224112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6746199 + ... + 6777465.

It is an arithmetic number, because the mean of its divisors is an integer number (5149839600).

Almost surely, 2211422201144 is an apocalyptic number.

211422201144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211422201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329589734400).

211422201144 is an abundant number, since it is smaller than the sum of its proper divisors (447757267656).

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

211422201144 is a wasteful number, since it uses less digits than its factorization.

211422201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34953 (or 34949 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211422201144 its reverse (441102224112), we get a palindrome (652524425256).

The spelling of 211422201144 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3659 7318 10977 14636 21954 25613 29272 31267 40249 43908 51226 62534 76839 80498 87816 93801 102452 120747 125068 153678 160996 187602 204904 218869 241494 250136 281743 307356 321992 343937 375204 437738 482988 563486 614712 656607 687874 750408 845229 875476 965976 1031811 1126972 1313214 1375748 1690458 1750952 2063622 2253944 2407559 2626428 2751496 3380916 4127244 4815118 5252856 6761832 7222677 8254488 9630236 14445354 19260472 28890708 57781416 114405953 228811906 343217859 457623812 686435718 800841671 915247624 1258465483 1372871436 1601683342 2402525013 2516930966 2745742872 3203366684 3775396449 4805050026 5033861932 6406733368 7550792898 8809258381 9610100052 10067723864 15101585796 17618516762 19220200104 26427775143 30203171592 35237033524 52855550286 70474067048 105711100572 211422201144