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2220301303220 = 225711134761101383
BaseRepresentation
bin100000010011110100010…
…001010011110110110100
321212020222121121121000202
4200103310101103312310
5242334134113200340
64415554202300032
7316261064454020
oct40236421236664
97766877547022
102220301303220
11786696225630
122ba3864b7618
131314b17c41b0
147966ac89380
153cb4d887c15
hex204f4453db4

2220301303220 has 768 divisors, whose sum is σ = 6579802865664. Its totient is φ = 607288320000.

The previous prime is 2220301303201. The next prime is 2220301303349. The reversal of 2220301303220 is 223031030222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2220301303192 and 2220301303201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5797131149 + ... + 5797131531.

It is an arithmetic number, because the mean of its divisors is an integer number (8567451648).

Almost surely, 22220301303220 is an apocalyptic number.

2220301303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220301303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289901432832).

2220301303220 is an abundant number, since it is smaller than the sum of its proper divisors (4359501562444).

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

2220301303220 is a wasteful number, since it uses less digits than its factorization.

2220301303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2220301303220 its reverse (223031030222), we get a palindrome (2443332333442).

The spelling of 2220301303220 in words is "two trillion, two hundred twenty billion, three hundred one million, three hundred three thousand, two hundred twenty".