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214682201540 = 22551217209581
BaseRepresentation
bin1100011111110000001…
…1100110110111000100
3202112010120102210122122
43013330003212313010
512004132120422130
6242342412345112
721340011414212
oct3077403466704
9675116383578
10214682201540
1183056562564
1235734775198
13173240780b1
14a56801bcb2
1558b74112e5
hex31fc0e6dc4

214682201540 has 24 divisors (see below), whose sum is σ = 450843576792. Its totient is φ = 85870794240.

The previous prime is 214682201527. The next prime is 214682201551. The reversal of 214682201540 is 45102286412.

It can be written as a sum of positive squares in 4 ways, for example, as 46430596 + 214635770944 = 6814^2 + 463288^2 .

It is a super-2 number, since 2×2146822015402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214682201540.

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, 919550 + ... + 1129130.

It is an arithmetic number, because the mean of its divisors is an integer number (18785149033).

Almost surely, 2214682201540 is an apocalyptic number.

214682201540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214682201540 is an abundant number, since it is smaller than the sum of its proper divisors (236161375252).

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

214682201540 is a wasteful number, since it uses less digits than its factorization.

214682201540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260807 (or 260805 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 214682201540 its reverse (45102286412), we get a palindrome (259784487952).

The spelling of 214682201540 in words is "two hundred fourteen billion, six hundred eighty-two million, two hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 51217 102434 204868 209581 256085 419162 512170 838324 1024340 1047905 2095810 4191620 10734110077 21468220154 42936440308 53670550385 107341100770 214682201540