Search a number
-
+
2194880 = 265193
BaseRepresentation
bin1000010111110111000000
311010111210212
420113313000
51030214010
6115013252
724441032
oct10276700
94114725
102194880
11126a056
1289a228
135bb05c
14411c52
152d5505
hex217dc0

2194880 has 56 divisors (see below), whose sum is σ = 5516880. Its totient is φ = 831744.

The previous prime is 2194879. The next prime is 2194883. The reversal of 2194880 is 884912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194883) 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, 115511 + ... + 115529.

22194880 is an apocalyptic number.

2194880 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 2194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758440).

2194880 is an abundant number, since it is smaller than the sum of its proper divisors (3322000).

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

2194880 is an frugal number, since it uses more digits than its factorization.

2194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2194880 is about 1481.5127404110. The cubic root of 2194880 is about 129.9581719474.

Adding to 2194880 its sum of digits (32), we get a palindrome (2194912).

The spelling of 2194880 in words is "two million, one hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 6859 7220 11552 13718 14440 23104 27436 28880 34295 54872 57760 68590 109744 115520 137180 219488 274360 438976 548720 1097440 2194880