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2170416340 = 225376928793
BaseRepresentation
bin1000000101011101…
…1110110011010100
312121021000120111101
42001113132303110
513421111310330
6555211315444
7104533143301
oct20127366324
95537016441
102170416340
11a14163a14
12506a4bb84
13287874031
1416837a0a8
15ca8264ca
hex815decd4

2170416340 has 24 divisors (see below), whose sum is σ = 4559241960. Its totient is φ = 867906048.

The previous prime is 2170416323. The next prime is 2170416383. The reversal of 2170416340 is 436140712.

2170416340 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 4 ways, for example, as 302620816 + 1867795524 = 17396^2 + 43218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2170416299 and 2170416308.

It is a congruent number.

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, 60984 + ... + 89776.

It is an arithmetic number, because the mean of its divisors is an integer number (189968415).

Almost surely, 22170416340 is an apocalyptic number.

2170416340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2170416340 is an abundant number, since it is smaller than the sum of its proper divisors (2388825620).

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

2170416340 is a wasteful number, since it uses less digits than its factorization.

2170416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32571 (or 32569 counting only the distinct ones).

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

The square root of 2170416340 is about 46587.7273538858. The cubic root of 2170416340 is about 1294.7353831900.

The spelling of 2170416340 in words is "two billion, one hundred seventy million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3769 7538 15076 18845 28793 37690 57586 75380 115172 143965 287930 575860 108520817 217041634 434083268 542604085 1085208170 2170416340