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2420024200 = 23521139091
BaseRepresentation
bin1001000000111110…
…1010001110001000
320020122200222002221
42100033222032020
514424011233300
61040045303424
7113653603066
oct22017521610
96218628087
102420024200
11103204a000
12576564b74
132c74aa0a9
1418d593036
15e26ce31a
hex903ea388

2420024200 has 96 divisors (see below), whose sum is σ = 6189469920. Its totient is φ = 879912000.

The previous prime is 2420024179. The next prime is 2420024203. The reversal of 2420024200 is 24200242.

It is not an unprimeable number, because it can be changed into a prime (2420024203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 261655 + ... + 270745.

It is an arithmetic number, because the mean of its divisors is an integer number (64473645).

Almost surely, 22420024200 is an apocalyptic number.

2420024200 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 2420024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094734960).

2420024200 is an abundant number, since it is smaller than the sum of its proper divisors (3769445720).

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

2420024200 is a wasteful number, since it uses less digits than its factorization.

2420024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 9109 counting only the distinct ones).

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

The square root of 2420024200 is about 49193.7414718580. The cubic root of 2420024200 is about 1342.5791641514.

Adding to 2420024200 its reverse (24200242), we get a palindrome (2444224442).

2420024200 divided by its reverse (24200242) gives a square (100 = 102).

It can be divided in two parts, 24200 and 24200, that added together give a square (48400 = 2202).

The spelling of 2420024200 in words is "two billion, four hundred twenty million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1331 2200 2420 2662 3025 4840 5324 6050 6655 9091 10648 12100 13310 18182 24200 26620 33275 36364 45455 53240 66550 72728 90910 100001 133100 181820 200002 227275 266200 363640 400004 454550 500005 800008 909100 1000010 1100011 1818200 2000020 2200022 2500025 4000040 4400044 5000050 5500055 8800088 10000100 11000110 12100121 20000200 22000220 24200242 27500275 44000440 48400484 55000550 60500605 96800968 110001100 121001210 220002200 242002420 302503025 484004840 605006050 1210012100 2420024200