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2338720020 = 2233572132523
BaseRepresentation
bin1000101101100110…
…0000100100010100
320000222201021202000
42023121200210110
514242203020040
61024022515300
7111645535500
oct21331404424
96028637660
102338720020
11aa0167a6a
12553295b30
132b36b1200
1418286b300
15da4be130
hex8b660914

2338720020 has 432 divisors, whose sum is σ = 9182617920. Its totient is φ = 492500736.

The previous prime is 2338720019. The next prime is 2338720031. The reversal of 2338720020 is 200278332.

It is a super-2 number, since 2×23387200202 = 10939222663897600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4471479 + ... + 4472001.

It is an arithmetic number, because the mean of its divisors is an integer number (21256060).

Almost surely, 22338720020 is an apocalyptic number.

2338720020 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 2338720020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591308960).

2338720020 is an abundant number, since it is smaller than the sum of its proper divisors (6843897900).

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

2338720020 is a wasteful number, since it uses less digits than its factorization.

2338720020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2338720020 is about 48360.3145151063. The cubic root of 2338720020 is about 1327.3722817533.

Adding to 2338720020 its reverse (200278332), we get a palindrome (2538998352).

The spelling of 2338720020 in words is "two billion, three hundred thirty-eight million, seven hundred twenty thousand, twenty".