Search a number
-
+
378225000000 = 263258412
BaseRepresentation
bin1011000000011111111…
…01110111111001000000
31100011021011001202111100
411200033331313321000
522144101100000000
6445430522214400
736216524312001
oct5401775677100
91304234052440
10378225000000
1113644a174631
1261376954400
13298882b7863
14144402711a8
159c89e11a00
hex580ff77e40

378225000000 has 567 divisors, whose sum is σ = 1388999777113. Its totient is φ = 98400000000.

The previous prime is 378224999983. The next prime is 378225000079. The reversal of 378225000000 is 522873.

The square root of 378225000000 is 615000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 43567377984 + 334657622016 = 208728^2 + 578496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9224999980 + ... + 9225000020.

Almost surely, 2378225000000 is an apocalyptic number.

378225000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378225000000 is the 615000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378225000000

378225000000 is an abundant number, since it is smaller than the sum of its proper divisors (1010774777113).

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

378225000000 is an frugal number, since it uses more digits than its factorization.

378225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 378225000000 its reverse (522873), we get a palindrome (378225522873).

The spelling of 378225000000 in words is "three hundred seventy-eight billion, two hundred twenty-five million", and thus it is an aban number.