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2132313220 = 225349305489
BaseRepresentation
bin111111100011000…
…1000010010000100
312111121022201211201
41333012020102010
513331333010340
6551330512244
7103561235422
oct17706102204
95447281751
102132313220
119a46a9534
124b6135684
1327c9c29cb
1416329c112
15c72eb79a
hex7f188484

2132313220 has 24 divisors (see below), whose sum is σ = 4490703000. Its totient is φ = 850478592.

The previous prime is 2132313203. The next prime is 2132313221. The reversal of 2132313220 is 223132312.

It can be written as a sum of positive squares in 4 ways, for example, as 820135044 + 1312178176 = 28638^2 + 36224^2 .

It is not an unprimeable number, because it can be changed into a prime (2132313221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145765 + ... + 159724.

It is an arithmetic number, because the mean of its divisors is an integer number (187112625).

Almost surely, 22132313220 is an apocalyptic number.

2132313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132313220 is an abundant number, since it is smaller than the sum of its proper divisors (2358389780).

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

2132313220 is a wasteful number, since it uses less digits than its factorization.

2132313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305847 (or 305845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2132313220 is about 46176.9771639504. The cubic root of 2132313220 is about 1287.1139574693.

Adding to 2132313220 its reverse (223132312), we get a palindrome (2355445532).

It can be divided in two parts, 21323 and 13220, that added together give a palindrome (34543).

The spelling of 2132313220 in words is "two billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 3490 6980 305489 610978 1221956 1527445 3054890 6109780 106615661 213231322 426462644 533078305 1066156610 2132313220