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2141481200 = 245221125373
BaseRepresentation
bin111111110100100…
…0110100011110000
312112020120111221112
41333221012203300
513341204344300
6552255212452
7104032201265
oct17751064360
95466514845
102141481200
119a98a0581
124b9217128
13281882951
141645a726c
15c800ce35
hex7fa468f0

2141481200 has 60 divisors (see below), whose sum is σ = 5169495768. Its totient is φ = 852499200.

The previous prime is 2141481187. The next prime is 2141481229. The reversal of 2141481200 is 21841412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71714 + ... + 97086.

Almost surely, 22141481200 is an apocalyptic number.

2141481200 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 2141481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584747884).

2141481200 is an abundant number, since it is smaller than the sum of its proper divisors (3028014568).

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

2141481200 is a wasteful number, since it uses less digits than its factorization.

2141481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2141481200 is about 46276.1407206781. The cubic root of 2141481200 is about 1288.9559888218.

The spelling of 2141481200 in words is "two billion, one hundred forty-one million, four hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 400 422 844 1055 1688 2110 3376 4220 5275 8440 10550 16880 21100 25373 42200 50746 84400 101492 126865 202984 253730 405968 507460 634325 1014920 1268650 2029840 2537300 5074600 5353703 10149200 10707406 21414812 26768515 42829624 53537030 85659248 107074060 133842575 214148120 267685150 428296240 535370300 1070740600 2141481200