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217000038340 = 22510850001917
BaseRepresentation
bin1100101000011000110…
…1011100111111000100
3202202010002212010000001
43022012031130333010
512023404002211330
6243404411531044
721451314615001
oct3120615347704
9682102763001
10217000038340
1184035956668
1236080a59a84
1317603326b67
14a707bb08a8
1559a0b579ca
hex328635cfc4

217000038340 has 12 divisors (see below), whose sum is σ = 455700080556. Its totient is φ = 86800015328.

The previous prime is 217000038323. The next prime is 217000038361. The reversal of 217000038340 is 43830000712.

217000038340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113748354756 + 103251683584 = 337266^2 + 321328^2 .

It is a super-2 number, since 2×2170000383402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217000038299 and 217000038308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5425000939 + ... + 5425000978.

It is an arithmetic number, because the mean of its divisors is an integer number (37975006713).

Almost surely, 2217000038340 is an apocalyptic number.

217000038340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217000038340 is an abundant number, since it is smaller than the sum of its proper divisors (238700042216).

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

217000038340 is a wasteful number, since it uses less digits than its factorization.

217000038340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850001926 (or 10850001924 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 217000038340 in words is "two hundred seventeen billion, thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 10850001917 21700003834 43400007668 54250009585 108500019170 217000038340