Search a number
-
+
2330011648 = 2111959879
BaseRepresentation
bin1000101011100001…
…0010100000000000
320000101022212002201
42022320102200000
514232440333043
61023112122544
7111511525606
oct21270224000
96011285081
102330011648
11a9625a268
12550396454
132b1952523
14181641876
15d984dc4d
hex8ae12800

2330011648 has 48 divisors (see below), whose sum is σ = 4904172000. Its totient is φ = 1103671296.

The previous prime is 2330011643. The next prime is 2330011669. The reversal of 2330011648 is 8461100332.

It is not an unprimeable number, because it can be changed into a prime (2330011643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8973 + ... + 68851.

It is an arithmetic number, because the mean of its divisors is an integer number (102170250).

Almost surely, 22330011648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452086000).

2330011648 is an abundant number, since it is smaller than the sum of its proper divisors (2574160352).

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

2330011648 is an equidigital number, since it uses as much as digits as its factorization.

2330011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59920 (or 59900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2330011648 is about 48270.1941989050. The cubic root of 2330011648 is about 1325.7227144020.

The spelling of 2330011648 in words is "two billion, three hundred thirty million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4864 9728 19456 38912 59879 119758 239516 479032 958064 1137701 1916128 2275402 3832256 4550804 7664512 9101608 15329024 18203216 30658048 36406432 61316096 72812864 122632192 145625728 291251456 582502912 1165005824 2330011648