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2181199104 = 283575009
BaseRepresentation
bin1000001000000010…
…0111010100000000
312122000022101200000
42002000213110000
513431341332404
61000234400000
7105023613030
oct20200472400
95560271600
102181199104
11a1a259197
1250a590000
13289b7ac76
141699858c0
15cb756339
hex82027500

2181199104 has 216 divisors, whose sum is σ = 7455040320. Its totient is φ = 623075328.

The previous prime is 2181199073. The next prime is 2181199117. The reversal of 2181199104 is 4019911812.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432952 + ... + 437960.

Almost surely, 22181199104 is an apocalyptic number.

2181199104 is a gapful number since it is divisible by the number (24) 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 2181199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727520160).

2181199104 is an abundant number, since it is smaller than the sum of its proper divisors (5273841216).

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

2181199104 is an frugal number, since it uses more digits than its factorization.

2181199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 2181199104 is about 46703.3093474113. The cubic root of 2181199104 is about 1296.8759510316.

The spelling of 2181199104 in words is "two billion, one hundred eighty-one million, one hundred ninety-nine thousand, one hundred four".