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2152323220 = 225565319037
BaseRepresentation
bin1000000001001001…
…1101100010010100
312112222222100101211
42000102131202110
513401443320340
6553323431204
7104223305545
oct20022354224
95488870354
102152323220
11a04a26323
12500985504
13283baa848
14165bca4cc
15c8e505ea
hex8049d894

2152323220 has 24 divisors (see below), whose sum is σ = 4520915784. Its totient is φ = 860731776.

The previous prime is 2152323191. The next prime is 2152323361. The reversal of 2152323220 is 223232512.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 2123550724 = 5364^2 + 46082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2152323191 and 2152323200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103542 + ... + 122578.

It is an arithmetic number, because the mean of its divisors is an integer number (188371491).

Almost surely, 22152323220 is an apocalyptic number.

2152323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152323220 is an abundant number, since it is smaller than the sum of its proper divisors (2368592564).

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

2152323220 is a wasteful number, since it uses less digits than its factorization.

2152323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699 (or 24697 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2152323220 is about 46393.1376390949. The cubic root of 2152323220 is about 1291.1275960912.

Adding to 2152323220 its reverse (223232512), we get a palindrome (2375555732).

The spelling of 2152323220 in words is "two billion, one hundred fifty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5653 11306 19037 22612 28265 38074 56530 76148 95185 113060 190370 380740 107616161 215232322 430464644 538080805 1076161610 2152323220