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2023445640 = 2335313761241
BaseRepresentation
bin111100010011011…
…0101010010001000
312020000110200121010
41320212311102020
513121000230030
6532441243520
7101100001266
oct17046652210
95200420533
102023445640
11949200727
124857935a0
13263295c18
14152a3d436
15bc9946b0
hex789b5488

2023445640 has 256 divisors, whose sum is σ = 6568151040. Its totient is φ = 497664000.

The previous prime is 2023445597. The next prime is 2023445693. The reversal of 2023445640 is 465443202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2023445598 and 2023445607.

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, 8395920 + ... + 8396160.

It is an arithmetic number, because the mean of its divisors is an integer number (25656840).

Almost surely, 22023445640 is an apocalyptic number.

2023445640 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 2023445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284075520).

2023445640 is an abundant number, since it is smaller than the sum of its proper divisors (4544705400).

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

2023445640 is a wasteful number, since it uses less digits than its factorization.

2023445640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2023445640 is about 44982.7260178838. The cubic root of 2023445640 is about 1264.8252118847.

Adding to 2023445640 its reverse (465443202), we get a palindrome (2488888842).

The spelling of 2023445640 in words is "two billion, twenty-three million, four hundred forty-five thousand, six hundred forty".