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2243410848 = 253271767977
BaseRepresentation
bin1000010110110111…
…1011101110100000
312210100101002010200
42011231323232200
514043303121343
61010340025200
7106410451260
oct20555735640
95710332120
102243410848
11a5138a858
12527392200
13299a20853
14173d3b7a0
15d1e444d3
hex85b7bba0

2243410848 has 288 divisors, whose sum is σ = 7843215744. Its totient is φ = 593657856.

The previous prime is 2243410801. The next prime is 2243410849. The reversal of 2243410848 is 8480143422.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2243410849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295736 + ... + 2296712.

It is an arithmetic number, because the mean of its divisors is an integer number (27233388).

Almost surely, 22243410848 is an apocalyptic number.

2243410848 is a gapful number since it is divisible by the number (28) 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 2243410848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921607872).

2243410848 is an abundant number, since it is smaller than the sum of its proper divisors (5599804896).

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

2243410848 is a wasteful number, since it uses less digits than its factorization.

2243410848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2243410848 is about 47364.6582168604. The cubic root of 2243410848 is about 1309.0903009677.

The spelling of 2243410848 in words is "two billion, two hundred forty-three million, four hundred ten thousand, eight hundred forty-eight".