Search a number
-
+
221434120232 = 231310121080933
BaseRepresentation
bin1100111000111010000…
…0001000100000101000
3210011120010100210212022
43032032200020200220
512111444113321412
6245420405404012
721666225652313
oct3161640104050
9704503323768
10221434120232
1185a00873a56
1236ab9a09608
1317b5bb60a60
14aa08a3b97a
155b60074a72
hex338e808828

221434120232 has 32 divisors (see below), whose sum is σ = 451553606280. Its totient is φ = 101188473600.

The previous prime is 221434120231. The next prime is 221434120273. The reversal of 221434120232 is 232021434122.

It can be written as a sum of positive squares in 4 ways, for example, as 201390922756 + 20043197476 = 448766^2 + 141574^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (221434120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10529963 + ... + 10550970.

Almost surely, 2221434120232 is an apocalyptic number.

It is an amenable number.

221434120232 is an abundant number, since it is smaller than the sum of its proper divisors (230119486048).

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

221434120232 is a wasteful number, since it uses less digits than its factorization.

221434120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081053 (or 21081049 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 221434120232 its reverse (232021434122), we get a palindrome (453455554354).

The spelling of 221434120232 in words is "two hundred twenty-one billion, four hundred thirty-four million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10504 21080933 42161866 84323732 168647464 274052129 548104258 1096208516 2129174233 2192417032 4258348466 8516696932 17033393864 27679265029 55358530058 110717060116 221434120232