Search a number
-
+
2188848 = 243311471
BaseRepresentation
bin1000010110011000110000
311010012112110
420112120300
51030020343
6114525320
724414324
oct10263060
94105473
102188848
111265572
12896840
135b839c
1440d984
152d3833
hex216630

2188848 has 40 divisors (see below), whose sum is σ = 5840896. Its totient is φ = 705600.

The previous prime is 2188831. The next prime is 2188861. The reversal of 2188848 is 8488812.

It is a super-3 number, since 3×21888483 = 31460677187833368576, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753 + ... + 2223.

22188848 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 2188848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920448).

2188848 is an abundant number, since it is smaller than the sum of its proper divisors (3652048).

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

2188848 is a wasteful number, since it uses less digits than its factorization.

2188848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 2188848 is about 1479.4755827657. The cubic root of 2188848 is about 129.8390117645.

The spelling of 2188848 in words is "two million, one hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1471 1488 2942 4413 5884 8826 11768 17652 23536 35304 45601 70608 91202 136803 182404 273606 364808 547212 729616 1094424 2188848