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2141653220 = 225766123143
BaseRepresentation
bin111111110100111…
…0000100011100100
312112020220020220122
41333221300203210
513341230400340
6552303021112
7104033515640
oct17751604344
95466806818
102141653220
119a99a8843
124b929a798
13281913035
1416460dc20
15c8043db5
hex7fa708e4

2141653220 has 48 divisors (see below), whose sum is σ = 5147966208. Its totient is φ = 733138560.

The previous prime is 2141653133. The next prime is 2141653231. The reversal of 2141653220 is 223561412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141653220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80969 + ... + 104111.

It is an arithmetic number, because the mean of its divisors is an integer number (107249296).

Almost surely, 22141653220 is an apocalyptic number.

2141653220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141653220 is an abundant number, since it is smaller than the sum of its proper divisors (3006312988).

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

2141653220 is a wasteful number, since it uses less digits than its factorization.

2141653220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23820 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2141653220 is about 46277.9993085267. Note that the first 3 decimals coincide. The cubic root of 2141653220 is about 1288.9905008024.

The spelling of 2141653220 in words is "two billion, one hundred forty-one million, six hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 661 1322 2644 3305 4627 6610 9254 13220 18508 23135 23143 46270 46286 92540 92572 115715 162001 231430 324002 462860 648004 810005 1620010 3240020 15297523 30595046 61190092 76487615 107082661 152975230 214165322 305950460 428330644 535413305 1070826610 2141653220