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20042323224 = 233711107101359
BaseRepresentation
bin10010101010100111…
…011001010100011000
31220201210011111210120
4102222213121110120
5312021313320344
613112440313240
71306444636140
oct225247312430
956653144716
1020042323224
1185554070a0
123a74172820
131b753a5a71
14d81b81920
157c482b219
hex4aa9d9518

20042323224 has 128 divisors (see below), whose sum is σ = 63054028800. Its totient is φ = 5157095040.

The previous prime is 20042323201. The next prime is 20042323241. The reversal of 20042323224 is 42232324002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20042323194 and 20042323203.

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, 147057 + ... + 248415.

It is an arithmetic number, because the mean of its divisors is an integer number (492609600).

Almost surely, 220042323224 is an apocalyptic number.

20042323224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042323224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31527014400).

20042323224 is an abundant number, since it is smaller than the sum of its proper divisors (43011705576).

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

20042323224 is a wasteful number, since it uses less digits than its factorization.

20042323224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101493 (or 101489 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20042323224 its reverse (42232324002), we get a palindrome (62274647226).

The spelling of 20042323224 in words is "twenty billion, forty-two million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 107 132 154 168 214 231 264 308 321 428 462 616 642 749 856 924 1177 1284 1498 1848 2247 2354 2568 2996 3531 4494 4708 5992 7062 8239 8988 9416 14124 16478 17976 24717 28248 32956 49434 65912 98868 101359 197736 202718 304077 405436 608154 709513 810872 1114949 1216308 1419026 2128539 2229898 2432616 2838052 3344847 4257078 4459796 5676104 6689694 7804643 8514156 8919592 10845413 13379388 15609286 17028312 21690826 23413929 26758776 31218572 32536239 43381652 46827858 62437144 65072478 75917891 86763304 93655716 119299543 130144956 151835782 187311432 227753673 238599086 260289912 303671564 357898629 455507346 477198172 607343128 715797258 835096801 911014692 954396344 1431594516 1670193602 1822029384 2505290403 2863189032 3340387204 5010580806 6680774408 10021161612 20042323224