Search a number
-
+
2220302122002 = 233291417817447
BaseRepresentation
bin100000010011110100010…
…100011011110000010010
321212020222200011012012000
4200103310110123300102
5242334134320401002
64415554232014430
7316261104434106
oct40236424336022
97766880135160
102220302122002
11786696734808
122ba386831416
131314b1a1ca93
147966b01d906
153cb4d99a61c
hex204f451bc12

2220302122002 has 32 divisors (see below), whose sum is σ = 5104142812800. Its totient is φ = 714579992784.

The previous prime is 2220302122001. The next prime is 2220302122019. The reversal of 2220302122002 is 2002212030222.

2220302122002 is a `hidden beast` number, since 2 + 220 + 30 + 212 + 200 + 2 = 666.

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 (2220302122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708907158 + ... + 708910289.

It is an arithmetic number, because the mean of its divisors is an integer number (159504462900).

Almost surely, 22220302122002 is an apocalyptic number.

2220302122002 is an abundant number, since it is smaller than the sum of its proper divisors (2883840690798).

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

2220302122002 is a wasteful number, since it uses less digits than its factorization.

2220302122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417817487 (or 1417817481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2220302122002 its reverse (2002212030222), we get a palindrome (4222514152224).

The spelling of 2220302122002 in words is "two trillion, two hundred twenty billion, three hundred two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 1417817447 2835634894 4253452341 8506904682 12760357023 25520714046 38281071069 41116705963 76562142138 82233411926 123350117889 246700235778 370050353667 740100707334 1110151061001 2220302122002