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21221414214 = 23721113504767
BaseRepresentation
bin10011110000111001…
…010001010101000110
32000202221211112120020
4103300321101111012
5321430140223324
613425440320010
71350613021200
oct236071212506
960687745506
1021221414214
118aaaa31660
124143013006
132002759140
1410545cb770
158430d6679
hex4f0e51546

21221414214 has 96 divisors (see below), whose sum is σ = 58003900416. Its totient is φ = 5088041280.

The previous prime is 21221414213. The next prime is 21221414231. The reversal of 21221414214 is 41241412212.

It is a happy number.

It is a super-2 number, since 2×212214142142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221414213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210342 + ... + 294425.

It is an arithmetic number, because the mean of its divisors is an integer number (604207296).

Almost surely, 221221414214 is an apocalyptic number.

21221414214 is an abundant number, since it is smaller than the sum of its proper divisors (36782486202).

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

21221414214 is a wasteful number, since it uses less digits than its factorization.

21221414214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504810 (or 504803 counting only the distinct ones).

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

Adding to 21221414214 its reverse (41241412212), we get a palindrome (62462826426).

The spelling of 21221414214 in words is "twenty-one billion, two hundred twenty-one million, four hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 858 1001 1078 1274 1617 1911 2002 3003 3234 3822 6006 7007 14014 21021 42042 504767 1009534 1514301 3028602 3533369 5552437 6561971 7066738 10600107 11104874 13123942 16657311 19685913 21200214 24733583 33314622 38867059 39371826 45933797 49467166 72181681 74200749 77734118 91867594 116601177 137801391 144363362 148401498 216545043 233202354 272069413 275602782 321536579 433090086 505271767 544138826 643073158 816208239 964609737 1010543534 1515815301 1632416478 1929219474 3031630602 3536902369 7073804738 10610707107 21221414214