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2189949120 = 2632519311291
BaseRepresentation
bin1000001010000111…
…1111100011000000
312122121202221102200
42002201333203000
513441111332440
61001150113200
7105161155212
oct20241774300
95577687380
102189949120
11a24195207
125114ab800
1328b9228a8
1416abc25b2
15cc3d3c30
hex8287f8c0

2189949120 has 336 divisors, whose sum is σ = 8191073280. Its totient is φ = 534988800.

The previous prime is 2189949109. The next prime is 2189949143. The reversal of 2189949120 is 219499812.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1695675 + ... + 1696965.

Almost surely, 22189949120 is an apocalyptic number.

2189949120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095536640).

2189949120 is an abundant number, since it is smaller than the sum of its proper divisors (6001124160).

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

2189949120 is a wasteful number, since it uses less digits than its factorization.

2189949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2189949120 is about 46796.8922045043. The cubic root of 2189949120 is about 1298.6078034862.

The spelling of 2189949120 in words is "two billion, one hundred eighty-nine million, nine hundred forty-nine thousand, one hundred twenty".