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2189491200 = 2103252131743
BaseRepresentation
bin1000001010000000…
…1111110000000000
312122120220200021200
42002200033300000
513441002204300
61001132221200
7105154240161
oct20240176000
95576820250
102189491200
11a23a02166
1251130a800
1328b7c2330
1416ab03768
15cc343200
hex8280fc00

2189491200 has 792 divisors, whose sum is σ = 9146945808. Its totient is φ = 495452160.

The previous prime is 2189491181. The next prime is 2189491207. The reversal of 2189491200 is 21949812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189491207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50918379 + ... + 50918421.

It is an arithmetic number, because the mean of its divisors is an integer number (11549174).

Almost surely, 22189491200 is an apocalyptic number.

2189491200 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 2189491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573472904).

2189491200 is an abundant number, since it is smaller than the sum of its proper divisors (6957454608).

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

2189491200 is a wasteful number, since it uses less digits than its factorization.

2189491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2189491200 is about 46791.9993161224. Note that the first 3 decimals coincide. The cubic root of 2189491200 is about 1298.5172838888.

The spelling of 2189491200 in words is "two billion, one hundred eighty-nine million, four hundred ninety-one thousand, two hundred".