Search a number
-
+
2133351200 = 2552232712
BaseRepresentation
bin111111100101000…
…0101101100100000
312111200021110200102
41333022011230200
513332114214300
6551405041532
7103603120541
oct17712055440
95450243612
102133351200
119a5248372
124b65562a8
1327cc972b6
1416348c4c8
15c74540d5
hex7f285b20

2133351200 has 162 divisors, whose sum is σ = 5522086017. Its totient is φ = 804742400.

The previous prime is 2133351193. The next prime is 2133351239. The reversal of 2133351200 is 21533312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2090684176 + 42667024 = 45724^2 + 6532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32660.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30047165 + ... + 30047235.

Almost surely, 22133351200 is an apocalyptic number.

2133351200 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 2133351200

2133351200 is an abundant number, since it is smaller than the sum of its proper divisors (3388734817).

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

2133351200 is an equidigital number, since it uses as much as digits as its factorization.

2133351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2133351200 is about 46188.2149471053. The cubic root of 2133351200 is about 1287.3227732302.

Adding to 2133351200 its reverse (21533312), we get a palindrome (2154884512).

The spelling of 2133351200 in words is "two billion, one hundred thirty-three million, three hundred fifty-one thousand, two hundred".