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2413200200 = 2352291373037
BaseRepresentation
bin1000111111010110…
…1000001101001000
320020011212021100012
42033311220031020
514420234401300
61035243131052
7113541602045
oct21765501510
96204767305
102413200200
111029209034
12574213a88
132c5c5b018
1418c6d81cc
15e1cd2435
hex8fd68348

2413200200 has 96 divisors (see below), whose sum is σ = 5848453800. Its totient is φ = 924887040.

The previous prime is 2413200197. The next prime is 2413200217. The reversal of 2413200200 is 20023142.

It can be written as a sum of positive squares in 12 ways, for example, as 551968036 + 1861232164 = 23494^2 + 43142^2 .

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, 793082 + ... + 796118.

Almost surely, 22413200200 is an apocalyptic number.

2413200200 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 2413200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924226900).

2413200200 is an abundant number, since it is smaller than the sum of its proper divisors (3435253600).

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

2413200200 is a wasteful number, since it uses less digits than its factorization.

2413200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2413200200 is about 49124.3340921788. The cubic root of 2413200200 is about 1341.3160383259.

Adding to 2413200200 its reverse (20023142), we get a palindrome (2433223342).

The spelling of 2413200200 in words is "two billion, four hundred thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 137 145 200 232 274 290 548 580 685 725 1096 1160 1370 1450 2740 2900 3037 3425 3973 5480 5800 6074 6850 7946 12148 13700 15185 15892 19865 24296 27400 30370 31784 39730 60740 75925 79460 88073 99325 121480 151850 158920 176146 198650 303700 352292 397300 416069 440365 607400 704584 794600 832138 880730 1664276 1761460 2080345 2201825 3328552 3522920 4160690 4403650 8321380 8807300 10401725 12066001 16642760 17614600 20803450 24132002 41606900 48264004 60330005 83213800 96528008 120660010 241320020 301650025 482640040 603300050 1206600100 2413200200