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2423241200 = 245217433823
BaseRepresentation
bin1001000001101111…
…1011100111110000
320020212202102000002
42100123323213300
514430322204300
61040242245132
7114023132102
oct22033734760
96225672002
102423241200
111033946a86
125776567a8
132c8065443
1418db8d572
15e2b175d5
hex906fb9f0

2423241200 has 120 divisors (see below), whose sum is σ = 6186041568. Its totient is φ = 909066240.

The previous prime is 2423241169. The next prime is 2423241229. The reversal of 2423241200 is 21423242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2943989 + ... + 2944811.

Almost surely, 22423241200 is an apocalyptic number.

2423241200 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 2423241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093020784).

2423241200 is an abundant number, since it is smaller than the sum of its proper divisors (3762800368).

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

2423241200 is a wasteful number, since it uses less digits than its factorization.

2423241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2423241200 is about 49226.4278614648. The cubic root of 2423241200 is about 1343.1738089988.

Adding to 2423241200 its reverse (21423242), we get a palindrome (2444664442).

The spelling of 2423241200 in words is "two billion, four hundred twenty-three million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 433 680 823 850 866 1360 1646 1700 1732 2165 3292 3400 3464 4115 4330 6584 6800 6928 7361 8230 8660 10825 13168 13991 14722 16460 17320 20575 21650 27982 29444 32920 34640 36805 41150 43300 55964 58888 65840 69955 73610 82300 86600 111928 117776 139910 147220 164600 173200 184025 223856 279820 294440 329200 349775 356359 368050 559640 588880 699550 712718 736100 1119280 1399100 1425436 1472200 1781795 2798200 2850872 2944400 3563590 5596400 5701744 6058103 7127180 8908975 12116206 14254360 17817950 24232412 28508720 30290515 35635900 48464824 60581030 71271800 96929648 121162060 142543600 151452575 242324120 302905150 484648240 605810300 1211620600 2423241200