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2207160072 = 23321329314361
BaseRepresentation
bin1000001110001110…
…1001011100001000
312200211011100102100
42003203221130020
514010013110242
61003003033400
7105460360005
oct20343513410
95624140370
102207160072
11a32980037
1251720b860
1329236a6a0
1416d1c28ac
15cdb8354c
hex838e9708

2207160072 has 384 divisors, whose sum is σ = 7149542400. Its totient is φ = 609638400.

The previous prime is 2207160071. The next prime is 2207160073. The reversal of 2207160072 is 2700617022.

It is an interprime number because it is at equal distance from previous prime (2207160071) and next prime (2207160073).

It is not an unprimeable number, because it can be changed into a prime (2207160071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36182922 + ... + 36182982.

It is an arithmetic number, because the mean of its divisors is an integer number (18618600).

Almost surely, 22207160072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2207160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

2207160072 is an abundant number, since it is smaller than the sum of its proper divisors (4942382328).

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

2207160072 is a wasteful number, since it uses less digits than its factorization.

2207160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2207160072 is about 46980.4222203249. The cubic root of 2207160072 is about 1302.0008777699. Note that the first 3 decimals are identical.

Adding to 2207160072 its reverse (2700617022), we get a palindrome (4907777094).

The spelling of 2207160072 in words is "two billion, two hundred seven million, one hundred sixty thousand, seventy-two".