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223421310414 = 232234138334367
BaseRepresentation
bin1101000000010011110…
…0101010010111001110
3210100200121121112022200
43100010330222113032
512130031323413124
6250345514022330
722066405542561
oct3200474522716
9710617545280
10223421310414
1186830561395
12373734179a6
13180b7771633
14ab569204d8
155c29756bc9
hex3404f2a5ce

223421310414 has 96 divisors (see below), whose sum is σ = 518812729344. Its totient is φ = 69314847360.

The previous prime is 223421310401. The next prime is 223421310433. The reversal of 223421310414 is 414013124322.

223421310414 is a `hidden beast` number, since 2 + 2 + 34 + 213 + 1 + 0 + 414 = 666.

223421310414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6483859 + ... + 6518225.

It is an arithmetic number, because the mean of its divisors is an integer number (5404299264).

Almost surely, 2223421310414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223421310414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259406364672).

223421310414 is an abundant number, since it is smaller than the sum of its proper divisors (295391418930).

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

223421310414 is a wasteful number, since it uses less digits than its factorization.

223421310414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34822 (or 34819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 223421310414 its reverse (414013124322), we get a palindrome (637434434736).

The spelling of 223421310414 in words is "two hundred twenty-three billion, four hundred twenty-one million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 383 414 738 766 943 1149 1886 2298 2829 3447 5658 6894 8487 8809 15703 16974 17618 26427 31406 34367 47109 52854 68734 79281 94218 103101 141327 158562 206202 282654 309303 361169 618606 722338 790441 1083507 1409047 1580882 2167014 2371323 2818094 3250521 4227141 4742646 6501042 7113969 8454282 12681423 13162561 14227938 25362846 26325122 32408081 39487683 64816162 78975366 97224243 118463049 194448486 236926098 291672729 302738903 539665001 583345458 605477806 908216709 1079330002 1618995003 1816433418 2724650127 3237990006 4856985009 5449300254 9713970018 12412295023 24824590046 37236885069 74473770138 111710655207 223421310414