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2187821080 = 235431399151
BaseRepresentation
bin1000001001100111…
…1000000000011000
312122110202211022101
42002121320000120
513440040233310
61001032333144
7105134113054
oct20231700030
95573684271
102187821080
11a22a713a5
125108441b4
1328b3590b3
1416a7cac64
15cc11343a
hex82678018

2187821080 has 64 divisors (see below), whose sum is σ = 5073868800. Its totient is φ = 848534400.

The previous prime is 2187821047. The next prime is 2187821093. The reversal of 2187821080 is 801287812.

It is a super-2 number, since 2×21878210802 = 9573122156184732800, which contains 22 as substring.

It is a congruent number.

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, 234505 + ... + 243655.

It is an arithmetic number, because the mean of its divisors is an integer number (79279200).

Almost surely, 22187821080 is an apocalyptic number.

2187821080 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 2187821080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536934400).

2187821080 is an abundant number, since it is smaller than the sum of its proper divisors (2886047720).

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

2187821080 is a wasteful number, since it uses less digits than its factorization.

2187821080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 2187821080 is about 46774.1496983109. The cubic root of 2187821080 is about 1298.1870349653.

The spelling of 2187821080 in words is "two billion, one hundred eighty-seven million, eight hundred twenty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 139 172 215 278 344 430 556 695 860 1112 1390 1720 2780 5560 5977 9151 11954 18302 23908 29885 36604 45755 47816 59770 73208 91510 119540 183020 239080 366040 393493 786986 1271989 1573972 1967465 2543978 3147944 3934930 5087956 6359945 7869860 10175912 12719890 15739720 25439780 50879560 54695527 109391054 218782108 273477635 437564216 546955270 1093910540 2187821080