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2148356 = 227297113
BaseRepresentation
bin1000001100100000000100
311001010222202
420030200010
51022221411
6114014032
724155300
oct10144004
94033882
102148356
111238101
12877318
135a2b22
143dcd00
152c683b
hex20c804

2148356 has 36 divisors (see below), whose sum is σ = 4457628. Its totient is φ = 903168.

The previous prime is 2148353. The next prime is 2148373. The reversal of 2148356 is 6538412.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 1768900 = 616^2 + 1330^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18956 + ... + 19068.

It is an arithmetic number, because the mean of its divisors is an integer number (123823).

22148356 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 2148356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228814).

2148356 is an abundant number, since it is smaller than the sum of its proper divisors (2309272).

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

2148356 is a wasteful number, since it uses less digits than its factorization.

2148356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 2148356 is about 1465.7271233077. The cubic root of 2148356 is about 129.0333827832.

The spelling of 2148356 in words is "two million, one hundred forty-eight thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 97 98 113 194 196 226 388 452 679 791 1358 1582 2716 3164 4753 5537 9506 10961 11074 19012 21922 22148 43844 76727 153454 306908 537089 1074178 2148356