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2195580 = 2235233743
BaseRepresentation
bin1000011000000001111100
311010112202210
420120001330
51030224310
6115020420
724443052
oct10300174
94115683
102195580
11126a632
1289a710
135bb47a
144121d2
152d5820
hex21807c

2195580 has 96 divisors (see below), whose sum is σ = 6741504. Its totient is φ = 532224.

The previous prime is 2195579. The next prime is 2195581. The reversal of 2195580 is 855912.

It is an interprime number because it is at equal distance from previous prime (2195579) and next prime (2195581).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51039 + ... + 51081.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

22195580 is an apocalyptic number.

2195580 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 2195580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370752).

2195580 is an abundant number, since it is smaller than the sum of its proper divisors (4545924).

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

2195580 is a wasteful number, since it uses less digits than its factorization.

2195580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 2195580 is about 1481.7489665932. The cubic root of 2195580 is about 129.9719860741.

It can be divided in two parts, 2195 and 580, that added together give a triangular number (2775 = T74).

The spelling of 2195580 in words is "two million, one hundred ninety-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 43 46 60 69 74 86 92 111 115 129 138 148 172 185 215 222 230 258 276 345 370 430 444 460 516 555 645 690 740 851 860 989 1110 1290 1380 1591 1702 1978 2220 2553 2580 2967 3182 3404 3956 4255 4773 4945 5106 5934 6364 7955 8510 9546 9890 10212 11868 12765 14835 15910 17020 19092 19780 23865 25530 29670 31820 36593 47730 51060 59340 73186 95460 109779 146372 182965 219558 365930 439116 548895 731860 1097790 2195580