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2181105400 = 235219157097
BaseRepresentation
bin1000001000000001…
…0000011011111000
312122000010122010111
42002000100123320
513431330333100
61000232354104
7105023042605
oct20200203370
95560118114
102181105400
11a1a1a4851
1250a545934
13289b47416
1416995d6ac
15cb7386ba
hex820106f8

2181105400 has 48 divisors (see below), whose sum is σ = 5097709440. Its totient is φ = 867859200.

The previous prime is 2181105371. The next prime is 2181105401. The reversal of 2181105400 is 45011812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181105401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9652 + ... + 66748.

It is an arithmetic number, because the mean of its divisors is an integer number (106202280).

Almost surely, 22181105400 is an apocalyptic number.

2181105400 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 2181105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548854720).

2181105400 is an abundant number, since it is smaller than the sum of its proper divisors (2916604040).

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

2181105400 is a wasteful number, since it uses less digits than its factorization.

2181105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57304 (or 57295 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 2181105400 is about 46702.3061529086. The cubic root of 2181105400 is about 1296.8573795641.

The spelling of 2181105400 in words is "two billion, one hundred eighty-one million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1528 1910 3820 4775 7640 9550 19100 38200 57097 114194 228388 285485 456776 570970 1141940 1427425 2283880 2854850 5709700 10905527 11419400 21811054 43622108 54527635 87244216 109055270 218110540 272638175 436221080 545276350 1090552700 2181105400