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2197780 = 2251379107
BaseRepresentation
bin1000011000100100010100
311010122210021
420120210110
51030312110
6115034524
724452344
oct10304424
94118707
102197780
111271252
1289ba44
135bc480
14412d24
152d62da
hex218914

2197780 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 793728.

The previous prime is 2197771. The next prime is 2197781. The reversal of 2197780 is 877912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197781) by changing a digit.

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, 20487 + ... + 20593.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22197780 is an apocalyptic number.

2197780 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 2197780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2197780 is an abundant number, since it is smaller than the sum of its proper divisors (2882540).

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

2197780 is a wasteful number, since it uses less digits than its factorization.

2197780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 2197780 is about 1482.4911466852. The cubic root of 2197780 is about 130.0153827951.

The spelling of 2197780 in words is "two million, one hundred ninety-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 107 130 158 214 260 316 395 428 535 790 1027 1070 1391 1580 2054 2140 2782 4108 5135 5564 6955 8453 10270 13910 16906 20540 27820 33812 42265 84530 109889 169060 219778 439556 549445 1098890 2197780