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2141521220 = 225397269713
BaseRepresentation
bin111111110100101…
…0000010101000100
312112020122112211202
41333221100111010
513341212134340
6552300122032
7104032426046
oct17751202504
95466575752
102141521220
119a9918653
124b9236318
13281897c27
141645b7a96
15c8019c15
hex7fa50544

2141521220 has 24 divisors (see below), whose sum is σ = 4508539224. Its totient is φ = 854447616.

The previous prime is 2141521183. The next prime is 2141521231. The reversal of 2141521220 is 221251412.

It can be written as a sum of positive squares in 4 ways, for example, as 749335876 + 1392185344 = 27374^2 + 37312^2 .

It is a super-2 number, since 2×21415212202 = 9172226271420576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2141521192 and 2141521201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126917 + ... + 142796.

It is an arithmetic number, because the mean of its divisors is an integer number (187855801).

Almost surely, 22141521220 is an apocalyptic number.

2141521220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141521220 is an abundant number, since it is smaller than the sum of its proper divisors (2367018004).

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

2141521220 is a wasteful number, since it uses less digits than its factorization.

2141521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270119 (or 270117 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2141521220 is about 46276.5731229096. The cubic root of 2141521220 is about 1288.9640181082.

Adding to 2141521220 its reverse (221251412), we get a palindrome (2362772632).

The spelling of 2141521220 in words is "two billion, one hundred forty-one million, five hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1985 3970 7940 269713 539426 1078852 1348565 2697130 5394260 107076061 214152122 428304244 535380305 1070760610 2141521220