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2181080628 = 223327174521
BaseRepresentation
bin1000001000000000…
…1010011000110100
312122000002101011000
42002000022120310
513431324040003
61000232043300
7105022610436
oct20200123064
95560071130
102181080628
11a1a188181
1250a533530
13289b3906c
14169954656
15cb7311a3
hex8200a634

2181080628 has 48 divisors (see below), whose sum is σ = 5675595520. Its totient is φ = 724334400.

The previous prime is 2181080611. The next prime is 2181080651. The reversal of 2181080628 is 8260801812.

2181080628 is a `hidden beast` number, since 2 + 18 + 10 + 8 + 0 + 628 = 666.

It is a super-2 number, since 2×21810806282 = 9514225411673748768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2181080592 and 2181080601.

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, 7993 + ... + 66528.

Almost surely, 22181080628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181080628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837797760).

2181080628 is an abundant number, since it is smaller than the sum of its proper divisors (3494514892).

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

2181080628 is a wasteful number, since it uses less digits than its factorization.

2181080628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74805 (or 74797 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2181080628 is about 46702.0409404129. The cubic root of 2181080628 is about 1296.8524698408.

The spelling of 2181080628 in words is "two billion, one hundred eighty-one million, eighty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1626 2439 3252 4878 7317 9756 14634 29268 74521 149042 223563 298084 447126 670689 894252 1341378 2012067 2682756 4024134 8048268 20195191 40390382 60585573 80780764 121171146 181756719 242342292 363513438 545270157 727026876 1090540314 2181080628