Search a number
-
+
2023420400 = 245223219937
BaseRepresentation
bin111100010011010…
…1111000111110000
312020000102101222022
41320212233013300
513120443423100
6532440531012
7101066534561
oct17046570760
95200371868
102023420400
11949193771
12485780a68
132632875a1
14152a34168
15bc98be85
hex789af1f0

2023420400 has 60 divisors (see below), whose sum is σ = 5072650032. Its totient is φ = 774174720.

The previous prime is 2023420391. The next prime is 2023420417. The reversal of 2023420400 is 40243202.

2023420400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100769 + ... + 119168.

Almost surely, 22023420400 is an apocalyptic number.

2023420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023420400 is an abundant number, since it is smaller than the sum of its proper divisors (3049229632).

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

2023420400 is a wasteful number, since it uses less digits than its factorization.

2023420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219978 (or 219967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2023420400 is about 44982.4454648700. The cubic root of 2023420400 is about 1264.8199528157.

Adding to 2023420400 its reverse (40243202), we get a palindrome (2063663602).

The spelling of 2023420400 in words is "two billion, twenty-three million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 219937 439874 879748 1099685 1759496 2199370 3518992 4398740 5058551 5498425 8797480 10117102 10996850 17594960 20234204 21993700 25292755 40468408 43987400 50585510 80936816 87974800 101171020 126463775 202342040 252927550 404684080 505855100 1011710200 2023420400