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2023302424 = 2311134214201
BaseRepresentation
bin111100010011001…
…0010010100011000
312020000012102010211
41320212102110120
513120431134144
6532434220504
7101065533613
oct17046222430
95200172124
102023302424
11949113070
12485724734
13263245990
14152a0317a
15bc967034
hex78992518

2023302424 has 64 divisors (see below), whose sum is σ = 4468574880. Its totient is φ = 846720000.

The previous prime is 2023302409. The next prime is 2023302443. The reversal of 2023302424 is 4242033202.

It is a hoax number, since the sum of its digits (22) 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 2023302395 and 2023302404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479524 + ... + 483724.

Almost surely, 22023302424 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 2023302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234287440).

2023302424 is an abundant number, since it is smaller than the sum of its proper divisors (2445272456).

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

2023302424 is a wasteful number, since it uses less digits than its factorization.

2023302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2023302424 is about 44981.1340897492. The cubic root of 2023302424 is about 1264.7953704634.

Adding to 2023302424 its reverse (4242033202), we get a palindrome (6265335626).

The spelling of 2023302424 in words is "two billion, twenty-three million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 421 572 842 1144 1684 3368 4201 4631 5473 8402 9262 10946 16804 18524 21892 33608 37048 43784 46211 54613 60203 92422 109226 120406 184844 218452 240812 369688 436904 481624 600743 1201486 1768621 2402972 3537242 4805944 7074484 14148968 19454831 22992073 38909662 45984146 77819324 91968292 155638648 183936584 252912803 505825606 1011651212 2023302424