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2164101220 = 225293731209
BaseRepresentation
bin1000000011111101…
…1001000001100100
312120211010201210001
42000333121001210
513413002214340
6554424111044
7104425362001
oct20077310144
95524121701
102164101220
11a10640306
12504905484
13286472788
141675b48a8
15c9eca29a
hex80fd9064

2164101220 has 24 divisors (see below), whose sum is σ = 4701324600. Its totient is φ = 835790592.

The previous prime is 2164101217. The next prime is 2164101299. The reversal of 2164101220 is 221014612.

It can be written as a sum of positive squares in 4 ways, for example, as 369562176 + 1794539044 = 19224^2 + 42362^2 .

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 7 ways as a sum of consecutive naturals, for example, 1865025 + ... + 1866184.

It is an arithmetic number, because the mean of its divisors is an integer number (195888525).

Almost surely, 22164101220 is an apocalyptic number.

2164101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164101220 is an abundant number, since it is smaller than the sum of its proper divisors (2537223380).

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

2164101220 is a wasteful number, since it uses less digits than its factorization.

2164101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731247 (or 3731245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2164101220 is about 46519.9013326555. The cubic root of 2164101220 is about 1293.4784273810.

Adding to 2164101220 its reverse (221014612), we get a palindrome (2385115832).

The spelling of 2164101220 in words is "two billion, one hundred sixty-four million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3731209 7462418 14924836 18656045 37312090 74624180 108205061 216410122 432820244 541025305 1082050610 2164101220