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2422400420 = 2251112798609
BaseRepresentation
bin1001000001100010…
…1110010110100100
320020211011200200002
42100120232112210
514430113303140
61040212240432
7114013030616
oct22030562644
96224150602
102422400420
111033422320
12577310118
132c7b2c83b
1418da10db6
15e29ed415
hex9062e5a4

2422400420 has 48 divisors (see below), whose sum is σ = 5554483200. Its totient is φ = 880081920.

The previous prime is 2422400369. The next prime is 2422400443. The reversal of 2422400420 is 240042242.

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 = 2422400392 and 2422400401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277076 + ... + 285684.

It is an arithmetic number, because the mean of its divisors is an integer number (115718400).

Almost surely, 22422400420 is an apocalyptic number.

2422400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422400420 is an abundant number, since it is smaller than the sum of its proper divisors (3132082780).

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

2422400420 is a wasteful number, since it uses less digits than its factorization.

2422400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2422400420 is about 49217.8871956121. The cubic root of 2422400420 is about 1343.0184462404.

Adding to 2422400420 its reverse (240042242), we get a palindrome (2662442662).

The spelling of 2422400420 in words is "two billion, four hundred twenty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1279 2558 5116 6395 8609 12790 14069 17218 25580 28138 34436 43045 56276 70345 86090 94699 140690 172180 189398 281380 378796 473495 946990 1893980 11010911 22021822 44043644 55054555 110109110 121120021 220218220 242240042 484480084 605600105 1211200210 2422400420