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2220450120 = 2332574121491
BaseRepresentation
bin1000010001011001…
…0110000101001000
312201202011112221100
42010112112011020
514021413400440
61004155541400
7106011341340
oct20426260510
95652145840
102220450120
11a3a428049
1251b75a860
13295041915
14170c81d20
15cee0b230
hex84596148

2220450120 has 192 divisors, whose sum is σ = 8448935040. Its totient is φ = 495129600.

The previous prime is 2220450109. The next prime is 2220450173. The reversal of 2220450120 is 210540222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220450093 and 2220450102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92575 + ... + 114065.

It is an arithmetic number, because the mean of its divisors is an integer number (44004870).

Almost surely, 22220450120 is an apocalyptic number.

2220450120 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 2220450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224467520).

2220450120 is an abundant number, since it is smaller than the sum of its proper divisors (6228484920).

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

2220450120 is a wasteful number, since it uses less digits than its factorization.

2220450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556 (or 21549 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2220450120 is about 47121.6523479387. The cubic root of 2220450120 is about 1304.6089108611.

Adding to 2220450120 its reverse (210540222), we get a palindrome (2430990342).

The spelling of 2220450120 in words is "two billion, two hundred twenty million, four hundred fifty thousand, one hundred twenty".