Search a number
-
+
2293997706 = 2337111331372
BaseRepresentation
bin1000100010111011…
…1010000010001010
312220212120011021000
42020232322002022
514144230411311
61015344155430
7110563441650
oct21056720212
95825504230
102293997706
11a779a1480
12540308b76
132a73530c0
1417a948dd0
15d65d8056
hex88bba08a

2293997706 has 384 divisors, whose sum is σ = 7261470720. Its totient is φ = 517881600.

The previous prime is 2293997687. The next prime is 2293997753. The reversal of 2293997706 is 6077993922.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61999920 + ... + 61999956.

It is an arithmetic number, because the mean of its divisors is an integer number (18910080).

Almost surely, 22293997706 is an apocalyptic number.

2293997706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293997706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630735360).

2293997706 is an abundant number, since it is smaller than the sum of its proper divisors (4967473014).

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

2293997706 is a wasteful number, since it uses less digits than its factorization.

2293997706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2293997706 is about 47895.6961114462. The cubic root of 2293997706 is about 1318.8568512031.

It can be divided in two parts, 2293 and 997706, that added together give a palindrome (999999).

The spelling of 2293997706 in words is "two billion, two hundred ninety-three million, nine hundred ninety-seven thousand, seven hundred six".