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22401400410422 = 21122961109480071
BaseRepresentation
bin1010001011111101110111…
…00000111001000100110110
32221022112221002222221120022
411011332323200321010312
510414011032001113142
6115351021123005142
74501306404513125
oct505767340710466
987275832887508
1022401400410422
11715742058a300
12261965b8097b2
13c6659b349957
1457633ac8babc
1528caa26836d2
hex145fbb839136

22401400410422 has 96 divisors (see below), whose sum is σ = 39190869748800. Its totient is φ = 9581429088000.

The previous prime is 22401400410413. The next prime is 22401400410479.

It is a happy number.

22401400410422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22401400410391 and 22401400410400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46422647 + ... + 46902717.

It is an arithmetic number, because the mean of its divisors is an integer number (408238226550).

Almost surely, 222401400410422 is an apocalyptic number.

22401400410422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22401400410422 is a deficient number, since it is larger than the sum of its proper divisors (16789469338378).

22401400410422 is a wasteful number, since it uses less digits than its factorization.

22401400410422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480294 (or 480283 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 22401400 and 410422, that added together give a palindrome (22811822).

The spelling of 22401400410422 in words is "twenty-two trillion, four hundred one billion, four hundred million, four hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 11 22 29 58 61 109 121 122 218 242 319 638 671 1199 1342 1769 2398 3161 3509 3538 6322 6649 7018 7381 13189 13298 14762 19459 26378 34771 38918 69542 73139 146278 192821 214049 382481 385642 428098 480071 764962 804529 960142 1609058 2121031 4242062 5280781 10561562 13922059 23331341 27844118 29284331 46662682 52327739 58088591 58568662 104655478 116177182 153142649 306285298 322127641 575605129 644255282 849245599 1151210258 1517504431 1684569139 1698491198 3035008862 3191992079 3369138278 3543404051 6331656419 6383984158 7086808102 9341701589 12663312838 16692548741 18683403178 33385097482 35111912869 70223825738 92567770291 102758717479 183618036151 185135540582 205517434958 367236072302 386231041559 772462083118 1018245473201 2036490946402 11200700205211 22401400410422