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2023224040 = 235477511433
BaseRepresentation
bin111100010010111…
…1111001011101000
312020000001102121201
41320211333023220
513120421132130
6532432413544
7101065056235
oct17045771350
95200042551
102023224040
1194906a192
124856a72b4
132632190b6
141529c278c
15bc94dbca
hex7897f2e8

2023224040 has 64 divisors (see below), whose sum is σ = 4658549760. Its totient is φ = 790464000.

The previous prime is 2023224037. The next prime is 2023224061. The reversal of 2023224040 is 404223202.

It is a junction number, because it is equal to n+sod(n) for n = 2023223999 and 2023224017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411164 + ... + 1412596.

It is an arithmetic number, because the mean of its divisors is an integer number (72789840).

Almost surely, 22023224040 is an apocalyptic number.

2023224040 is a gapful number since it is divisible by the number (20) 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 2023224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329274880).

2023224040 is an abundant number, since it is smaller than the sum of its proper divisors (2635325720).

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

2023224040 is a wasteful number, since it uses less digits than its factorization.

2023224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2023224040 is about 44980.2627826917. The cubic root of 2023224040 is about 1264.7790372649.

Adding to 2023224040 its reverse (404223202), we get a palindrome (2427447242).

The spelling of 2023224040 in words is "two billion, twenty-three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 751 940 1433 1502 1880 2866 3004 3755 5732 6008 7165 7510 11464 14330 15020 28660 30040 35297 57320 67351 70594 134702 141188 176485 269404 282376 336755 352970 538808 673510 705940 1076183 1347020 1411880 2152366 2694040 4304732 5380915 8609464 10761830 21523660 43047320 50580601 101161202 202322404 252903005 404644808 505806010 1011612020 2023224040