Search a number
-
+
1820400220 = 225127716693
BaseRepresentation
bin110110010000001…
…0001101001011100
311200212101220122101
41230200101221130
512212010301340
6500345254444
763053101162
oct15440215134
94625356571
101820400220
118546286a1
12429794424
132301b36c2
14133aa7232
15a9c37c9a
hex6c811a5c

1820400220 has 24 divisors (see below), whose sum is σ = 3852946944. Its totient is φ = 722425536.

The previous prime is 1820400187. The next prime is 1820400229. The reversal of 1820400220 is 220040281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820400229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355807 + ... + 360886.

It is an arithmetic number, because the mean of its divisors is an integer number (160539456).

Almost surely, 21820400220 is an apocalyptic number.

1820400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820400220 is an abundant number, since it is smaller than the sum of its proper divisors (2032546724).

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

1820400220 is a wasteful number, since it uses less digits than its factorization.

1820400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716829 (or 716827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1820400220 is about 42666.1484083108. The cubic root of 1820400220 is about 1221.0186377415.

The spelling of 1820400220 in words is "one billion, eight hundred twenty million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 716693 1433386 2866772 3583465 7166930 14333860 91020011 182040022 364080044 455100055 910200110 1820400220