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2400233020 = 225753715923
BaseRepresentation
bin1000111100010000…
…1010011000111100
320012021110110201021
42033010022120330
514403424424040
61034101153524
7113323433623
oct21704123074
96167413637
102400233020
111021961659
1256b9bb8a4
132c336aa33
1418aac06ba
15e0ac024a
hex8f10a63c

2400233020 has 24 divisors (see below), whose sum is σ = 5041474704. Its totient is φ = 959905536.

The previous prime is 2400232987. The next prime is 2400233027. The reversal of 2400233020 is 203320042.

It is a super-2 number, since 2×24002330202 = 11522237100596640800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400232985 and 2400233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400233027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142779 + ... + 158701.

It is an arithmetic number, because the mean of its divisors is an integer number (210061446).

Almost surely, 22400233020 is an apocalyptic number.

2400233020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400233020 is an abundant number, since it is smaller than the sum of its proper divisors (2641241684).

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

2400233020 is a wasteful number, since it uses less digits than its factorization.

2400233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23469 (or 23467 counting only the distinct ones).

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

The square root of 2400233020 is about 48992.1730483554. The cubic root of 2400233020 is about 1338.9092296693.

Adding to 2400233020 its reverse (203320042), we get a palindrome (2603553062).

The spelling of 2400233020 in words is "two billion, four hundred million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 7537 15074 15923 30148 31846 37685 63692 75370 79615 150740 159230 318460 120011651 240023302 480046604 600058255 1200116510 2400233020