Search a number
-
+
2990088192 = 21337213191
BaseRepresentation
bin1011001000111001…
…0010000000000000
321201101101012220010
42302032102000000
522110430310232
61212411544520
7134045221200
oct26216220000
97641335803
102990088192
1112a4910573
126b545b140
13388623b70
14205186400
151277870cc
hexb2392000

2990088192 has 336 divisors, whose sum is σ = 10040550912. Its totient is φ = 784465920.

The previous prime is 2990088187. The next prime is 2990088193. The reversal of 2990088192 is 2918800992.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2990088193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654817 + ... + 15655007.

It is an arithmetic number, because the mean of its divisors is an integer number (29882592).

Almost surely, 22990088192 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 2990088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456).

2990088192 is an abundant number, since it is smaller than the sum of its proper divisors (7050462720).

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

2990088192 is a wasteful number, since it uses less digits than its factorization.

2990088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 2990088192 is about 54681.6988763151. The cubic root of 2990088192 is about 1440.6594510433.

The spelling of 2990088192 in words is "two billion, nine hundred ninety million, eighty-eight thousand, one hundred ninety-two".