Search a number
-
+
2197720 = 235747167
BaseRepresentation
bin1000011000100011011000
311010122201001
420120203120
51030311340
6115034344
724452230
oct10304330
94118631
102197720
1112711a8
1289b9b4
135bc435
14412cc0
152d629a
hex2188d8

2197720 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 733056.

The previous prime is 2197703. The next prime is 2197733. The reversal of 2197720 is 277912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13077 + ... + 13243.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22197720 is an apocalyptic number.

2197720 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 2197720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2197720 is an abundant number, since it is smaller than the sum of its proper divisors (3608360).

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

2197720 is a wasteful number, since it uses less digits than its factorization.

2197720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2197720 is about 1482.4709103385. The cubic root of 2197720 is about 130.0141996324.

The spelling of 2197720 in words is "two million, one hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 167 188 235 280 329 334 376 470 658 668 835 940 1169 1316 1336 1645 1670 1880 2338 2632 3290 3340 4676 5845 6580 6680 7849 9352 11690 13160 15698 23380 31396 39245 46760 54943 62792 78490 109886 156980 219772 274715 313960 439544 549430 1098860 2197720