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2231023014 = 234111816917
BaseRepresentation
bin1000010011111010…
…1011010110100110
312202111001201020000
42010332223112212
514032120214024
61005214322130
7106200245163
oct20476532646
95674051200
102231023014
11a45399680
125231b9346
132972a417c
1417243506a
15d0ce8cc9
hex84fab5a6

2231023014 has 80 divisors (see below), whose sum is σ = 5484535056. Its totient is φ = 672235200.

The previous prime is 2231023013. The next prime is 2231023019. The reversal of 2231023014 is 4103201322.

It is a super-3 number, since 3×22310230143 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231023013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319084 + ... + 326000.

Almost surely, 22231023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742267528).

2231023014 is an abundant number, since it is smaller than the sum of its proper divisors (3253512042).

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

2231023014 is a wasteful number, since it uses less digits than its factorization.

2231023014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231023014 is about 47233.7063335072. The cubic root of 2231023014 is about 1306.6763079631.

Adding to 2231023014 its reverse (4103201322), we get a palindrome (6334224336).

The spelling of 2231023014 in words is "two billion, two hundred thirty-one million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 181 198 297 362 543 594 891 1086 1629 1782 1991 3258 3982 4887 5973 6917 9774 11946 13834 14661 17919 20751 29322 35838 41502 53757 62253 76087 107514 124506 152174 161271 186759 228261 322542 373518 456522 560277 684783 1120554 1251977 1369566 2054349 2503954 3755931 4108698 6163047 7511862 11267793 12326094 13771747 22535586 27543494 33803379 41315241 67606758 82630482 101410137 123945723 202820274 247891446 371837169 743674338 1115511507 2231023014