Search a number
-
+
220032212202 = 2321117374121051
BaseRepresentation
bin1100110011101011110…
…0010001110011101010
3210000221102102111120200
43030322330101303222
512101111221242302
6245025325533030
721616413642015
oct3147274216352
9700842374520
10220032212202
11853514a1780
1236788414176
131799759498a
14a91479037c
155acbe5481c
hex333af11cea

220032212202 has 288 divisors, whose sum is σ = 580233730752. Its totient is φ = 59512320000.

The previous prime is 220032212173. The next prime is 220032212233. The reversal of 220032212202 is 202212230022.

220032212202 is a `hidden beast` number, since 220 + 0 + 3 + 221 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209354577 + ... + 209355627.

It is an arithmetic number, because the mean of its divisors is an integer number (2014700454).

Almost surely, 2220032212202 is an apocalyptic number.

220032212202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220032212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290116865376).

220032212202 is an abundant number, since it is smaller than the sum of its proper divisors (360201518550).

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

220032212202 is a wasteful number, since it uses less digits than its factorization.

220032212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1162 counting only the distinct ones).

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

Adding to 220032212202 its reverse (202212230022), we get a palindrome (422244442224).

It can be divided in two parts, 220032 and 212202, that added together give a palindrome (432234).

The spelling of 220032212202 in words is "two hundred twenty billion, thirty-two million, two hundred twelve thousand, two hundred two".