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22421241414 = 232111343320117
BaseRepresentation
bin10100111000011010…
…001111111001000110
32010212120112002001200
4110320122033321012
5331404314211124
614144501003330
71422422256525
oct247032177106
963776462050
1022421241414
11956622a590
1244189b3546
1321641bca70
141129ab44bc
158b35dabc9
hex53868fe46

22421241414 has 96 divisors (see below), whose sum is σ = 57206901024. Its totient is φ = 6256880640.

The previous prime is 22421241377. The next prime is 22421241421. The reversal of 22421241414 is 41414212422.

22421241414 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 241 + 414 = 666.

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, 1104484 + ... + 1124600.

It is an arithmetic number, because the mean of its divisors is an integer number (595905219).

Almost surely, 222421241414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22421241414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28603450512).

22421241414 is an abundant number, since it is smaller than the sum of its proper divisors (34785659610).

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

22421241414 is a wasteful number, since it uses less digits than its factorization.

22421241414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20582 (or 20579 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 22421241414 its reverse (41414212422), we get a palindrome (63835453836).

The spelling of 22421241414 in words is "twenty-two billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 433 858 866 1287 1299 2574 2598 3897 4763 5629 7794 9526 11258 14289 16887 20117 28578 33774 40234 42867 50661 60351 61919 85734 101322 120702 123838 181053 185757 221287 261521 362106 371514 442574 523042 557271 663861 784563 1114542 1327722 1569126 1991583 2353689 2876731 3983166 4707378 5753462 8630193 8710661 17260386 17421322 25890579 26131983 51781158 52263966 78395949 95817271 113238593 156791898 191634542 226477186 287451813 339715779 574903626 679431558 862355439 1019147337 1245624523 1724710878 2038294674 2491249046 3736873569 7473747138 11210620707 22421241414