Search a number
-
+
2341013220 = 223257213171201
BaseRepresentation
bin1000101110001001…
…0000011011100100
320001011000210102100
42023202100123210
514243244410340
61024144012100
7112004166300
oct21342203344
96034023370
102341013220
11aa1493977
12554001030
132b4004c30
14182ca6d00
15da7c3830
hex8b8906e4

2341013220 has 432 divisors, whose sum is σ = 9426978288. Its totient is φ = 464486400.

The previous prime is 2341013219. The next prime is 2341013243. The reversal of 2341013220 is 223101432.

2341013220 is a `hidden beast` number, since 2 + 341 + 0 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 520113636 + 1820899584 = 22806^2 + 42672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2341013193 and 2341013202.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1948620 + ... + 1949820.

It is an arithmetic number, because the mean of its divisors is an integer number (21821709).

Almost surely, 22341013220 is an apocalyptic number.

2341013220 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 2341013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713489144).

2341013220 is an abundant number, since it is smaller than the sum of its proper divisors (7085965068).

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

2341013220 is a wasteful number, since it uses less digits than its factorization.

2341013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2341013220 is about 48384.0182291632. The cubic root of 2341013220 is about 1327.8059856223.

Adding to 2341013220 its reverse (223101432), we get a palindrome (2564114652).

The spelling of 2341013220 in words is "two billion, three hundred forty-one million, thirteen thousand, two hundred twenty".