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21800804000 = 255320892609
BaseRepresentation
bin10100010011011011…
…011101111010100000
32002021100001120221012
4110103123131322200
5324122001212000
614003134520052
71401146530223
oct242333357240
962240046835
1021800804000
119277a92798
124285066028
1320957b9931
1410ab52b5ba
15878dd2735
hex5136ddea0

21800804000 has 96 divisors (see below), whose sum is σ = 53610757200. Its totient is φ = 8712806400.

The previous prime is 21800803957. The next prime is 21800804071. The reversal of 21800804000 is 40800812.

It can be written as a sum of positive squares in 8 ways, for example, as 3105164176 + 18695639824 = 55724^2 + 136732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8354696 + ... + 8357304.

Almost surely, 221800804000 is an apocalyptic number.

21800804000 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 21800804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805378600).

21800804000 is an abundant number, since it is smaller than the sum of its proper divisors (31809953200).

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

21800804000 is a wasteful number, since it uses less digits than its factorization.

21800804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4705 counting only the distinct ones).

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

The spelling of 21800804000 in words is "twenty-one billion, eight hundred million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2089 2609 4000 4178 5218 8356 10436 10445 13045 16712 20872 20890 26090 33424 41744 41780 52180 52225 65225 66848 83488 83560 104360 104450 130450 167120 208720 208900 260900 261125 326125 334240 417440 417800 521800 522250 652250 835600 1043600 1044500 1304500 1671200 2087200 2089000 2609000 4178000 5218000 5450201 8356000 10436000 10900402 21800804 27251005 43601608 54502010 87203216 109004020 136255025 174406432 218008040 272510050 436016080 545020100 681275125 872032160 1090040200 1362550250 2180080400 2725100500 4360160800 5450201000 10900402000 21800804000