Search a number
-
+
2244485376 = 283472472
BaseRepresentation
bin1000010111001000…
…0010000100000000
312210102101200010000
42011302002010000
514044042013001
61010415040000
7106422545100
oct20562020400
95712350100
102244485376
11a51a540a1
12527810000
1329a008973
1417413b200
15d20a7a86
hex85c82100

2244485376 has 405 divisors, whose sum is σ = 7954496319. Its totient is φ = 627637248.

The previous prime is 2244485359. The next prime is 2244485407. The reversal of 2244485376 is 6735844422.

It is a happy number.

The square root of 2244485376 is 47376.

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

It is a super-2 number, since 2×22444853762 = 10075429206155722752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47754985 + ... + 47755031.

Almost surely, 22244485376 is an apocalyptic number.

2244485376 is the 47376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244485376

2244485376 is an abundant number, since it is smaller than the sum of its proper divisors (5710010943).

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

2244485376 is an frugal number, since it uses more digits than its factorization.

2244485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 59 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The cubic root of 2244485376 is about 1309.2992728942.

The spelling of 2244485376 in words is "two billion, two hundred forty-four million, four hundred eighty-five thousand, three hundred seventy-six".