Search a number
-
+
2300991000 = 2335372111423
BaseRepresentation
bin1000100100100110…
…0101011000011000
312221100201110020220
42021021211120120
514203023203000
61020154120040
7111010046400
oct21111453030
95840643226
102300991000
11a80938660
12542720020
132a8931249
1417b849800
15d701a1a0
hex89265618

2300991000 has 384 divisors, whose sum is σ = 9116789760. Its totient is φ = 477792000.

The previous prime is 2300990977. The next prime is 2300991019. The reversal of 2300991000 is 1990032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1616289 + ... + 1617711.

It is an arithmetic number, because the mean of its divisors is an integer number (23741640).

Almost surely, 22300991000 is an apocalyptic number.

2300991000 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 2300991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558394880).

2300991000 is an abundant number, since it is smaller than the sum of its proper divisors (6815798760).

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

2300991000 is a wasteful number, since it uses less digits than its factorization.

2300991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 2300991000 is about 47968.6460096593. The cubic root of 2300991000 is about 1320.1956780618.

The spelling of 2300991000 in words is "two billion, three hundred million, nine hundred ninety-one thousand".