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2420420200 = 2352119071213
BaseRepresentation
bin1001000001000100…
…1010111001101000
320020200110002022121
42100101022321220
514424111421300
61040102001024
7113660142442
oct22021127150
96220402277
102420420200
11103229a580
12576716174
132c75b8403
1418d657492
15e275b81a
hex9044ae68

2420420200 has 96 divisors (see below), whose sum is σ = 6150900960. Its totient is φ = 878457600.

The previous prime is 2420420161. The next prime is 2420420213. The reversal of 2420420200 is 20240242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994794 + ... + 1996006.

It is an arithmetic number, because the mean of its divisors is an integer number (64071885).

Almost surely, 22420420200 is an apocalyptic number.

2420420200 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 2420420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075450480).

2420420200 is an abundant number, since it is smaller than the sum of its proper divisors (3730480760).

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

2420420200 is a wasteful number, since it uses less digits than its factorization.

2420420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2420420200 is about 49197.7662094530. The cubic root of 2420420200 is about 1342.6523910158.

Adding to 2420420200 its reverse (20240242), we get a palindrome (2440660442).

The spelling of 2420420200 in words is "two billion, four hundred twenty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 907 1100 1213 1814 2200 2426 3628 4535 4852 6065 7256 9070 9704 9977 12130 13343 18140 19954 22675 24260 26686 30325 36280 39908 45350 48520 49885 53372 60650 66715 79816 90700 99770 106744 121300 133430 181400 199540 242600 249425 266860 333575 399080 498850 533720 667150 997700 1100191 1334300 1995400 2200382 2668600 4400764 5500955 8801528 11001910 12102101 22003820 24204202 27504775 44007640 48408404 55009550 60510505 96816808 110019100 121021010 220038200 242042020 302552525 484084040 605105050 1210210100 2420420200