Search a number
-
+
221134302414 = 232173123311649
BaseRepresentation
bin1100110111110010100…
…0011010110011001110
3210010210020012111010200
43031330220122303032
512110340340134124
6245330535314330
721655625362014
oct3157450326316
9703706174120
10221134302414
1185867604433
1236a3551b9a6
1317b119c7b6c
14a9bacb48b4
155b43a9ebc9
hex337ca1acce

221134302414 has 48 divisors (see below), whose sum is σ = 523672905600. Its totient is φ = 67137546240.

The previous prime is 221134302409. The next prime is 221134302419. The reversal of 221134302414 is 414203431122.

221134302414 is a `hidden beast` number, since 2 + 211 + 3 + 4 + 30 + 2 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (221134302409) and next prime (221134302419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221134302419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11646339 + ... + 11665310.

It is an arithmetic number, because the mean of its divisors is an integer number (10909852200).

Almost surely, 2221134302414 is an apocalyptic number.

221134302414 is an abundant number, since it is smaller than the sum of its proper divisors (302538603186).

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

221134302414 is a wasteful number, since it uses less digits than its factorization.

221134302414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23311705 (or 23311702 counting only the distinct ones).

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

Adding to 221134302414 its reverse (414203431122), we get a palindrome (635337733536).

The spelling of 221134302414 in words is "two hundred twenty-one billion, one hundred thirty-four million, three hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 23311649 46623298 69934947 139869894 209804841 396298033 419609682 722661119 792596066 1188894099 1445322238 2167983357 2377788198 3566682297 4335966714 6503950071 7133364594 12285239023 13007900142 24570478046 36855717069 73711434138 110567151207 221134302414