Search a number
-
+
221232420414 = 23217382878573
BaseRepresentation
bin1100111000001001111…
…0101101011000111110
3210011001001211101201200
43032002132231120332
512111040444423124
6245344402320330
721661226355225
oct3160236553076
9704031741650
10221232420414
1185907a2a995
1236a623590a6
1317b2912cb55
14a9c9d35cbc
155b4c4d1bc9
hex33827ad63e

221232420414 has 48 divisors (see below), whose sum is σ = 482222063232. Its totient is φ = 73300474944.

The previous prime is 221232420337. The next prime is 221232420439. The reversal of 221232420414 is 414024232122.

It is a happy number.

221232420414 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 242 + 0 + 414 = 666.

It is a super-3 number, since 3×2212324204143 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25801432 + ... + 25810004.

It is an arithmetic number, because the mean of its divisors is an integer number (10046292984).

Almost surely, 2221232420414 is an apocalyptic number.

221232420414 is an abundant number, since it is smaller than the sum of its proper divisors (260989642818).

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

221232420414 is a wasteful number, since it uses less digits than its factorization.

221232420414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221232420414 its reverse (414024232122), we get a palindrome (635256652536).

The spelling of 221232420414 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 8287 8573 16574 17146 24861 25719 49722 51438 74583 77157 149166 154314 1433651 1483129 2867302 2966258 4300953 4449387 8601906 8898774 12902859 13348161 25805718 26696322 71044451 142088902 213133353 426266706 639400059 1278800118 12290690023 24581380046 36872070069 73744140138 110616210207 221232420414