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2141132220 = 2232511895179
BaseRepresentation
bin111111110011111…
…0001010110111100
312112012220210020100
41333213301112330
513341112212340
6552243521100
7104026215663
oct17747612674
95465823210
102141132220
119a9682367
124b9089190
1328178cb56
14164515dda
15c7e8e830
hex7f9f15bc

2141132220 has 36 divisors (see below), whose sum is σ = 6494768280. Its totient is φ = 570968544.

The previous prime is 2141132219. The next prime is 2141132237. The reversal of 2141132220 is 222311412.

It is a happy number.

2141132220 is a `hidden beast` number, since 2 + 1 + 411 + 32 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2141132193 and 2141132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947410 + ... + 5947769.

It is an arithmetic number, because the mean of its divisors is an integer number (180410230).

Almost surely, 22141132220 is an apocalyptic number.

2141132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141132220 is an abundant number, since it is smaller than the sum of its proper divisors (4353636060).

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

2141132220 is a wasteful number, since it uses less digits than its factorization.

2141132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895194 (or 11895189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141132220 is about 46272.3699414672. The cubic root of 2141132220 is about 1288.8859680814.

Adding to 2141132220 its reverse (222311412), we get a palindrome (2363443632).

The spelling of 2141132220 in words is "two billion, one hundred forty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11895179 23790358 35685537 47580716 59475895 71371074 107056611 118951790 142742148 178427685 214113222 237903580 356855370 428226444 535283055 713710740 1070566110 2141132220