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23221311414 = 23743107120167
BaseRepresentation
bin10101101000000110…
…010001011110110110
32012221022222211202220
4111220012101132312
5340024123431124
614400121143210
71451305614240
oct255006213666
965838884686
1023221311414
119936908a64
12460092ab06
132260b98772
1411a405b090
1590d978879
hex5681917b6

23221311414 has 64 divisors (see below), whose sum is σ = 54819680256. Its totient is φ = 6419748384.

The previous prime is 23221311401. The next prime is 23221311437. The reversal of 23221311414 is 41411312232.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 133159 + ... + 253325.

It is an arithmetic number, because the mean of its divisors is an integer number (856557504).

Almost surely, 223221311414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23221311414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27409840128).

23221311414 is an abundant number, since it is smaller than the sum of its proper divisors (31598368842).

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

23221311414 is a wasteful number, since it uses less digits than its factorization.

23221311414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120329.

The product of its digits is 1152, while the sum is 24.

Adding to 23221311414 its reverse (41411312232), we get a palindrome (64632623646).

The spelling of 23221311414 in words is "twenty-three billion, two hundred twenty-one million, three hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 107 129 214 258 301 321 602 642 749 903 1498 1806 2247 4494 4601 9202 13803 27606 32207 64414 96621 120167 193242 240334 360501 721002 841169 1682338 2523507 5047014 5167181 10334362 12857869 15501543 25715738 31003086 36170267 38573607 72340534 77147214 90005083 108510801 180010166 217021602 270015249 540030498 552888367 1105776734 1658665101 3317330202 3870218569 7740437138 11610655707 23221311414