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23224231123314 = 23131573735084383
BaseRepresentation
bin1010100011111010100000…
…00010111101100101110010
310001020012210121011001212220
411101331100002331211302
511021001211131421224
6121221021532501510
74614616045255254
oct521752002754562
9101205717131786
1023224231123314
117444383018561
12273101801a896
13cc60602927a0
145a40b7435cd4
152a41aee96279
hex151f500bd972

23224231123314 has 64 divisors (see below), whose sum is σ = 50474998447104. Its totient is φ = 7081364549376.

The previous prime is 23224231123273. The next prime is 23224231123343. The reversal of 23224231123314 is 41332113242232.

It is a happy number.

It is a super-2 number, since 2×232242311233142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025567 + ... + 7109949.

It is an arithmetic number, because the mean of its divisors is an integer number (788671850736).

Almost surely, 223224231123314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23224231123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25237499223552).

23224231123314 is an abundant number, since it is smaller than the sum of its proper divisors (27250767323790).

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

23224231123314 is a wasteful number, since it uses less digits than its factorization.

23224231123314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084931.

The product of its digits is 41472, while the sum is 33.

Adding to 23224231123314 its reverse (41332113242232), we get a palindrome (64556344365546).

The spelling of 23224231123314 in words is "twenty-three trillion, two hundred twenty-four billion, two hundred thirty-one million, one hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 157 314 373 471 746 942 1119 2041 2238 4082 4849 6123 9698 12246 14547 29094 58561 117122 175683 351366 761293 1522586 2283879 4567758 5084383 10168766 15253149 30506298 66096979 132193958 198290937 396581874 798248131 1596496262 1896474859 2394744393 3792949718 4789488786 5689424577 10377225703 11378849154 20754451406 24654173167 31131677109 49308346334 62263354218 73962519501 147925039002 297746552863 595493105726 893239658589 1786479317178 3870705187219 7741410374438 11612115561657 23224231123314