Search a number
-
+
220000230180 = 223251222223501
BaseRepresentation
bin1100110011100100001…
…0010001101100100100
3210000212012020122111100
43030321002101230210
512101030024331210
6245022224240100
721615545046663
oct3147102215444
9700765218440
10220000230180
1185335438155
1236779770030
1317990a777c3
14a910426dda
155ac92385c0
hex3339091b24

220000230180 has 36 divisors (see below), whose sum is σ = 667334032092. Its totient is φ = 58666728000.

The previous prime is 220000230137. The next prime is 220000230181. The reversal of 220000230180 is 81032000022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67820659776 + 152179570404 = 260424^2 + 390102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220000230181) 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, 611111571 + ... + 611111930.

It is an arithmetic number, because the mean of its divisors is an integer number (18537056447).

Almost surely, 2220000230180 is an apocalyptic number.

220000230180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000230180 is an abundant number, since it is smaller than the sum of its proper divisors (447333801912).

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

220000230180 is a wasteful number, since it uses less digits than its factorization.

220000230180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222223516 (or 1222223511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 220000230180 in words is "two hundred twenty billion, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1222223501 2444447002 3666670503 4888894004 6111117505 7333341006 11000011509 12222235010 14666682012 18333352515 22000023018 24444470020 36666705030 44000046036 55000057545 73333410060 110000115090 220000230180