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2235080 = 23571787
BaseRepresentation
bin1000100001101011001000
311012112221202
420201223020
51033010310
6115523332
724666161
oct10415310
94175852
102235080
111297281
128b9548
13603443
14422768
152e23a5
hex221ac8

2235080 has 32 divisors (see below), whose sum is σ = 5106240. Its totient is φ = 880320.

The previous prime is 2235067. The next prime is 2235083. The reversal of 2235080 is 805322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 26 + 218 + 39 + 59 + 0 + 82 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2235083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2447 + ... + 3233.

It is an arithmetic number, because the mean of its divisors is an integer number (159570).

22235080 is an apocalyptic number.

2235080 is a gapful number since it is divisible by the number (20) 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 2235080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553120).

2235080 is an abundant number, since it is smaller than the sum of its proper divisors (2871160).

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

2235080 is a wasteful number, since it uses less digits than its factorization.

2235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2235080 is about 1495.0183945357. The cubic root of 2235080 is about 130.7467866725.

The spelling of 2235080 in words is "two million, two hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 787 1420 1574 2840 3148 3935 6296 7870 15740 31480 55877 111754 223508 279385 447016 558770 1117540 2235080