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2315220 = 223547821
BaseRepresentation
bin1000110101001111010100
311100121212220
420311033110
51043041340
6121342340
725451625
oct10651724
94317786
102315220
111341506
129379b0
13630a6b
14443a4c
1530aed0
hex2353d4

2315220 has 48 divisors (see below), whose sum is σ = 6628608. Its totient is φ = 603520.

The previous prime is 2315177. The next prime is 2315227. The reversal of 2315220 is 225132.

2315220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2315220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410 + ... + 3230.

It is an arithmetic number, because the mean of its divisors is an integer number (138096).

22315220 is an apocalyptic number.

2315220 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 2315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314304).

2315220 is an abundant number, since it is smaller than the sum of its proper divisors (4313388).

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

2315220 is a wasteful number, since it uses less digits than its factorization.

2315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2315220 is about 1521.5847002385. The cubic root of 2315220 is about 132.2911388437.

The spelling of 2315220 in words is "two million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 821 940 1410 1642 2463 2820 3284 4105 4926 8210 9852 12315 16420 24630 38587 49260 77174 115761 154348 192935 231522 385870 463044 578805 771740 1157610 2315220