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2023412200 = 235210117061
BaseRepresentation
bin111100010011010…
…1101000111101000
312020000101222201121
41320212231013220
513120443142300
6532440425024
7101066501635
oct17046550750
95200358647
102023412200
11949188597
12485778174
13263283934
14152a3118c
15bc98981a
hex789ad1e8

2023412200 has 24 divisors (see below), whose sum is σ = 4704433830. Its totient is φ = 809364800.

The previous prime is 2023412179. The next prime is 2023412207. The reversal of 2023412200 is 22143202.

It can be written as a sum of positive squares in 3 ways, for example, as 1349386756 + 674025444 = 36734^2 + 25962^2 .

It is a super-2 number, since 2×20234122002 = 8188393862217680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2023412207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5058331 + ... + 5058730.

Almost surely, 22023412200 is an apocalyptic number.

2023412200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023412200 is an abundant number, since it is smaller than the sum of its proper divisors (2681021630).

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

2023412200 is a wasteful number, since it uses less digits than its factorization.

2023412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117077 (or 10117068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2023412200 is about 44982.3543181101. The cubic root of 2023412200 is about 1264.8182442339.

Adding to 2023412200 its reverse (22143202), we get a palindrome (2045555402).

The spelling of 2023412200 in words is "two billion, twenty-three million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10117061 20234122 40468244 50585305 80936488 101170610 202341220 252926525 404682440 505853050 1011706100 2023412200