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23204201334424 = 231117236011122103
BaseRepresentation
bin1010100011010101001100…
…01011011000011010011000
310001011022002200120100221221
411101222212023120122120
511020134201020200144
6121203510220541424
74613306512002265
oct521524613303230
9101138080510857
1023204201334424
1174369347a2720
1227291680b1874
13cc41ba687cb6
145a31371d826c
152a38db7e3d84
hex151aa62d8698

23204201334424 has 128 divisors (see below), whose sum is σ = 52527393838080. Its totient is φ = 9479517696000.

The previous prime is 23204201334409. The next prime is 23204201334443. The reversal of 23204201334424 is 42443310240232.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 23204201334424.

It is a congruent number.

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, 20118157 + ... + 21240259.

It is an arithmetic number, because the mean of its divisors is an integer number (410370264360).

Almost surely, 223204201334424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23204201334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26263696919040).

23204201334424 is an abundant number, since it is smaller than the sum of its proper divisors (29323192503656).

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

23204201334424 is a wasteful number, since it uses less digits than its factorization.

23204201334424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122761 (or 1122757 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 23204201334424 its reverse (42443310240232), we get a palindrome (65647511574656).

The spelling of 23204201334424 in words is "twenty-three trillion, two hundred four billion, two hundred one million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 601 748 782 1012 1202 1496 1564 2024 2404 3128 4301 4808 6611 8602 10217 13222 13823 17204 20434 26444 27646 34408 40868 52888 55292 81736 110584 112387 152053 224774 234991 304106 449548 469982 608212 899096 939964 1122103 1216424 1879928 2244206 2584901 4488412 5169802 8976824 10339604 12343133 19075751 20679208 24686266 25808369 38151502 49372532 51616738 76303004 98745064 103233476 152606008 206466952 209833261 283892059 419666522 438742273 567784118 674383903 839333044 877484546 1135568236 1348767806 1678666088 1754969092 2271136472 2697535612 3509938184 4826165003 5395071224 7418222933 9652330006 11464526351 14836445866 15510829769 19304660012 22929052702 29672891732 31021659538 38609320024 45858105404 59345783464 62043319076 91716210808 124086638152 126109789861 170619127459 252219579722 263684106073 341238254918 504439159444 527368212146 682476509836 1008878318888 1054736424292 1364953019672 2109472848584 2900525166803 5801050333606 11602100667212 23204201334424