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2024254056 = 233111729103151
BaseRepresentation
bin111100010100111…
…1010101001101000
312020001222202112110
41320221322221220
513121202112211
6532510442320
7101106606216
oct17051725150
95201882473
102024254056
11949703040
12485b033a0
132634b9b86
14152badcb6
15bcaa3ea6
hex78a7aa68

2024254056 has 256 divisors, whose sum is σ = 6146150400. Its totient is φ = 548352000.

The previous prime is 2024254021. The next prime is 2024254087. The reversal of 2024254056 is 6504524202.

It is a happy number.

It is a super-2 number, since 2×20242540562 = 8195208966464902272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13405581 + ... + 13405731.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 22024254056 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 2024254056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073075200).

2024254056 is an abundant number, since it is smaller than the sum of its proper divisors (4121896344).

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

2024254056 is a wasteful number, since it uses less digits than its factorization.

2024254056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2024254056 is about 44991.7109699109. The cubic root of 2024254056 is about 1264.9936323217.

Adding to 2024254056 its reverse (6504524202), we get a palindrome (8528778258).

The spelling of 2024254056 in words is "two billion, twenty-four million, two hundred fifty-four thousand, fifty-six".