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2422143200 = 25524876217
BaseRepresentation
bin1001000001011110…
…1111100011100000
320020210200121211102
42100113233203200
514430032040300
61040202533532
7114010606661
oct22027574340
96223617742
102422143200
111033267044
125772072a8
132c7a6c739
1418d985368
15e299c0d5
hex905ef8e0

2422143200 has 72 divisors (see below), whose sum is σ = 5926151952. Its totient is φ = 966712320.

The previous prime is 2422143193. The next prime is 2422143209. The reversal of 2422143200 is 23412242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422143209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386492 + ... + 392708.

It is an arithmetic number, because the mean of its divisors is an integer number (82307666).

Almost surely, 22422143200 is an apocalyptic number.

2422143200 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 2422143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963075976).

2422143200 is an abundant number, since it is smaller than the sum of its proper divisors (3504008752).

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

2422143200 is a wasteful number, since it uses less digits than its factorization.

2422143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6711 counting only the distinct ones).

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

The square root of 2422143200 is about 49215.2740518632. The cubic root of 2422143200 is about 1342.9709088983.

Adding to 2422143200 its reverse (23412242), we get a palindrome (2445555442).

The spelling of 2422143200 in words is "two billion, four hundred twenty-two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 487 800 974 1948 2435 3896 4870 6217 7792 9740 12175 12434 15584 19480 24350 24868 31085 38960 48700 49736 62170 77920 97400 99472 124340 155425 194800 198944 248680 310850 389600 497360 621700 994720 1243400 2486800 3027679 4973600 6055358 12110716 15138395 24221432 30276790 48442864 60553580 75691975 96885728 121107160 151383950 242214320 302767900 484428640 605535800 1211071600 2422143200