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2420320220 = 2253714532251
BaseRepresentation
bin1001000001000011…
…0010011111011100
320020200021000011122
42100100302133130
514424100221340
61040055510112
7113656245113
oct22020623734
96220230148
102420320220
11103223144a
12576688338
132c7581a56
1418d62cc7a
15e273bdb5
hex904327dc

2420320220 has 48 divisors (see below), whose sum is σ = 5225955168. Its totient is φ = 940896000.

The previous prime is 2420320213. The next prime is 2420320223. The reversal of 2420320220 is 220230242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420320223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074095 + ... + 1076345.

It is an arithmetic number, because the mean of its divisors is an integer number (108874066).

Almost surely, 22420320220 is an apocalyptic number.

2420320220 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 2420320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612977584).

2420320220 is an abundant number, since it is smaller than the sum of its proper divisors (2805634948).

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

2420320220 is a wasteful number, since it uses less digits than its factorization.

2420320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2420320220 is about 49196.7500959159. The cubic root of 2420320220 is about 1342.6339038354.

Adding to 2420320220 its reverse (220230242), we get a palindrome (2640550462).

The spelling of 2420320220 in words is "two billion, four hundred twenty million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1453 2251 2906 4502 5812 7265 9004 11255 14530 22510 29060 45020 53761 83287 107522 166574 215044 268805 333148 416435 537610 832870 1075220 1665740 3270703 6541406 13082812 16353515 32707030 65414060 121016011 242032022 484064044 605080055 1210160110 2420320220