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2195880 = 233529631
BaseRepresentation
bin1000011000000110101000
311010120011220
420120012220
51030232010
6115022040
724443661
oct10300650
94116156
102195880
11126a885
1289a920
135bb64b
14412368
152d5970
hex2181a8

2195880 has 64 divisors (see below), whose sum is σ = 6825600. Its totient is φ = 564480.

The previous prime is 2195867. The next prime is 2195891. The reversal of 2195880 is 885912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165 + ... + 3795.

It is an arithmetic number, because the mean of its divisors is an integer number (106650).

22195880 is an apocalyptic number.

2195880 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 2195880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412800).

2195880 is an abundant number, since it is smaller than the sum of its proper divisors (4629720).

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

2195880 is a wasteful number, since it uses less digits than its factorization.

2195880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 2195880 is about 1481.8501948578. The cubic root of 2195880 is about 129.9779055153.

The spelling of 2195880 in words is "two million, one hundred ninety-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 631 696 870 1160 1262 1740 1893 2524 3155 3480 3786 5048 6310 7572 9465 12620 15144 18299 18930 25240 36598 37860 54897 73196 75720 91495 109794 146392 182990 219588 274485 365980 439176 548970 731960 1097940 2195880