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2023223400 = 2333521134061
BaseRepresentation
bin111100010010111…
…1111000001101000
312020000001101202000
41320211333001220
513120421122100
6532432411000
7101065054332
oct17045770150
95200041660
102023223400
11949069760
124856a6a60
13263218a13
141529c2452
15bc94d900
hex7897f068

2023223400 has 192 divisors, whose sum is σ = 7602638400. Its totient is φ = 490464000.

The previous prime is 2023223393. The next prime is 2023223407. The reversal of 2023223400 is 43223202.

2023223400 is a `hidden beast` number, since 2 + 0 + 2 + 322 + 340 + 0 = 666.

2023223400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2023223393) and next prime (2023223407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2023223407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42370 + ... + 76430.

It is an arithmetic number, because the mean of its divisors is an integer number (39597075).

Almost surely, 22023223400 is an apocalyptic number.

2023223400 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 2023223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801319200).

2023223400 is an abundant number, since it is smaller than the sum of its proper divisors (5579415000).

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

2023223400 is a wasteful number, since it uses less digits than its factorization.

2023223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34097 (or 34082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023223400 is about 44980.2556684597. The cubic root of 2023223400 is about 1264.7789039037.

Adding to 2023223400 its reverse (43223202), we get a palindrome (2066446602).

The spelling of 2023223400 in words is "two billion, twenty-three million, two hundred twenty-three thousand, four hundred".