Search a number
-
+
2301000000 = 263561359
BaseRepresentation
bin1000100100100110…
…0111100101000000
312221100201220121020
42021021213211000
514203024000000
61020154225440
7111010114545
oct21111474500
95840656536
102301000000
11a809443a2
12542725280
132a8935380
1417b84cbcc
15d701cba0
hex89267940

2301000000 has 392 divisors, whose sum is σ = 8334268320. Its totient is φ = 556800000.

The previous prime is 2300999999. The next prime is 2301000001. The reversal of 2301000000 is 1032.

It is an interprime number because it is at equal distance from previous prime (2300999999) and next prime (2301000001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38999971 + ... + 39000029.

Almost surely, 22301000000 is an apocalyptic number.

2301000000 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 2301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167134160).

2301000000 is an abundant number, since it is smaller than the sum of its proper divisors (6033268320).

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

2301000000 is an frugal number, since it uses more digits than its factorization.

2301000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2301000000 is about 47968.7398208458. The cubic root of 2301000000 is about 1320.1973993123.

Adding to 2301000000 its reverse (1032), we get a palindrome (2301001032).

The spelling of 2301000000 in words is "two billion, three hundred one million", and thus it is an aban number.