Search a number
-
+
2023223200 = 25522529029
BaseRepresentation
bin111100010010111…
…1110111110100000
312020000001101110121
41320211332332200
513120421120300
6532432410024
7101065053625
oct17045767640
95200041417
102023223200
11949069599
124856a6914
132632188bb
141529c234c
15bc94d81a
hex7897efa0

2023223200 has 36 divisors (see below), whose sum is σ = 4939195590. Its totient is φ = 809288960.

The previous prime is 2023223177. The next prime is 2023223201. The reversal of 2023223200 is 23223202.

It can be written as a sum of positive squares in 3 ways, for example, as 1369296016 + 653927184 = 37004^2 + 25572^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2023223201) 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, 1263715 + ... + 1265314.

Almost surely, 22023223200 is an apocalyptic number.

2023223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023223200 is an abundant number, since it is smaller than the sum of its proper divisors (2915972390).

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

2023223200 is a wasteful number, since it uses less digits than its factorization.

2023223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529049 (or 2529036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2023223200 is about 44980.2534452620. The cubic root of 2023223200 is about 1264.7788622283.

Adding to 2023223200 its reverse (23223202), we get a palindrome (2046446402).

The spelling of 2023223200 in words is "two billion, twenty-three million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2529029 5058058 10116116 12645145 20232232 25290290 40464464 50580580 63225725 80928928 101161160 126451450 202322320 252902900 404644640 505805800 1011611600 2023223200