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2423201200 = 245271376317
BaseRepresentation
bin1001000001101111…
…0001110110110000
320020212200101010121
42100123301312300
514430314414300
61040241340024
7114022604350
oct22033616660
96225611117
102423201200
111033919a22
12577637614
132c8050184
1418db7cb60
15e2b0a81a
hex906f1db0

2423201200 has 120 divisors (see below), whose sum is σ = 6703044192. Its totient is φ = 824616960.

The previous prime is 2423201177. The next prime is 2423201203. The reversal of 2423201200 is 21023242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2423201203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380442 + ... + 386758.

Almost surely, 22423201200 is an apocalyptic number.

2423201200 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 2423201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351522096).

2423201200 is an abundant number, since it is smaller than the sum of its proper divisors (4279842992).

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

2423201200 is a wasteful number, since it uses less digits than its factorization.

2423201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2423201200 is about 49226.0215739603. The cubic root of 2423201200 is about 1343.1664184498.

Adding to 2423201200 its reverse (21023242), we get a palindrome (2444224442).

The spelling of 2423201200 in words is "two billion, four hundred twenty-three million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 137 140 175 200 274 280 350 400 548 560 685 700 959 1096 1370 1400 1918 2192 2740 2800 3425 3836 4795 5480 6317 6850 7672 9590 10960 12634 13700 15344 19180 23975 25268 27400 31585 38360 44219 47950 50536 54800 63170 76720 88438 95900 101072 126340 157925 176876 191800 221095 252680 315850 353752 383600 442190 505360 631700 707504 865429 884380 1105475 1263400 1730858 1768760 2210950 2526800 3461716 3537520 4327145 4421900 6058003 6923432 8654290 8843800 12116006 13846864 17308580 17687600 21635725 24232012 30290015 34617160 43271450 48464024 60580030 69234320 86542900 96928048 121160060 151450075 173085800 242320120 302900150 346171600 484640240 605800300 1211600600 2423201200