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2023223132424 = 2331370114876221
BaseRepresentation
bin11101011100010001011…
…111110000000100001000
321011102021220021012200210
4131130101133300010020
5231122030110214144
64145242245201120
7266113232605344
oct35342137600410
97142256235623
102023223132424
11710053792a0a
122881454001a0
13118a34919950
146dcd2c62624
1537966bb5ab9
hex1d7117f0108

2023223132424 has 128 divisors (see below), whose sum is σ = 5459455572480. Its totient is φ = 621124224000.

The previous prime is 2023223132423. The next prime is 2023223132431. The reversal of 2023223132424 is 4242313223202.

It is a junction number, because it is equal to n+sod(n) for n = 2023223132391 and 2023223132400.

It is not an unprimeable number, because it can be changed into a prime (2023223132423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325221634 + ... + 325227854.

It is an arithmetic number, because the mean of its divisors is an integer number (42651996660).

Almost surely, 22023223132424 is an apocalyptic number.

2023223132424 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 2023223132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729727786240).

2023223132424 is an abundant number, since it is smaller than the sum of its proper divisors (3436232440056).

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

2023223132424 is a wasteful number, since it uses less digits than its factorization.

2023223132424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2023223132424 its reverse (4242313223202), we get a palindrome (6265536355626).

The spelling of 2023223132424 in words is "two trillion, twenty-three billion, two hundred twenty-three million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 701 1402 1487 2103 2804 2974 4206 4461 5608 5948 6221 8412 8922 9113 11896 12442 16824 17844 18226 18663 19331 24884 27339 35688 36452 37326 38662 49768 54678 57993 72904 74652 77324 80873 109356 115986 149304 154648 161746 218712 231972 242619 323492 463944 485238 646984 970476 1042387 1940952 2084774 3127161 4169548 4360921 6254322 8339096 8721842 9250627 12508644 13082763 13551031 17443684 18501254 25017288 26165526 27102062 27751881 34887368 37002508 40653093 52331052 54204124 55503762 56691973 74005016 81306186 104662104 108408248 111007524 113383946 120258151 162612372 170075919 222015048 226767892 240516302 325224744 340151838 360774453 453535784 481032604 680303676 721548906 962065208 1360607352 1443097812 2886195624 6484689527 12969379054 19454068581 25938758108 38908137162 51877516216 77816274324 84300963851 155632548648 168601927702 252902891553 337203855404 505805783106 674407710808 1011611566212 2023223132424