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2278848 = 263111383
BaseRepresentation
bin1000101100010111000000
311021202222210
420230113000
51040410343
6120502120
725240605
oct10542700
94252883
102278848
111317150
1291a940
1361a340
144346ac
15300333
hex22c5c0

2278848 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 629760.

The previous prime is 2278847. The next prime is 2278877. The reversal of 2278848 is 8488722.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (57344) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27415 + ... + 27497.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

22278848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2278848 is an abundant number, since it is smaller than the sum of its proper divisors (4890048).

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

2278848 is a wasteful number, since it uses less digits than its factorization.

2278848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2278848 is about 1509.5853735380. The cubic root of 2278848 is about 131.5947165157.

The spelling of 2278848 in words is "two million, two hundred seventy-eight thousand, eight hundred forty-eight".