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2141980200 = 233452196959
BaseRepresentation
bin111111110101100…
…0000011000101000
312112021111212110000
41333223000120220
513341321331300
6552314023000
7104036350143
oct17753003050
95467455400
102141980200
119aa101478
124b9417a60
132819c8b09
1416469705a
15c80aac00
hex7fac0628

2141980200 has 240 divisors, whose sum is σ = 7832088000. Its totient is φ = 541054080.

The previous prime is 2141980193. The next prime is 2141980231. The reversal of 2141980200 is 20891412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 304321 + ... + 311279.

It is an arithmetic number, because the mean of its divisors is an integer number (32633700).

Almost surely, 22141980200 is an apocalyptic number.

2141980200 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 2141980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916044000).

2141980200 is an abundant number, since it is smaller than the sum of its proper divisors (5690107800).

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

2141980200 is a wasteful number, since it uses less digits than its factorization.

2141980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2141980200 is about 46281.5319539014. The cubic root of 2141980200 is about 1289.0560969599.

The spelling of 2141980200 in words is "two billion, one hundred forty-one million, nine hundred eighty thousand, two hundred".