Search a number
-
+
2199540 = 223575237
BaseRepresentation
bin1000011000111111110100
311010202012110
420120333310
51030341130
6115051020
724460440
oct10307764
94122173
102199540
111272602
128a0a70
135c0205
14413820
152d6ab0
hex218ff4

2199540 has 48 divisors (see below), whose sum is σ = 7039872. Its totient is φ = 502656.

The previous prime is 2199529. The next prime is 2199577. The reversal of 2199540 is 459912.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2199498 and 2199507.

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, 2199 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (146664).

22199540 is an apocalyptic number.

2199540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2199540 is an abundant number, since it is smaller than the sum of its proper divisors (4840332).

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

2199540 is a wasteful number, since it uses less digits than its factorization.

2199540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2199540 is about 1483.0846233442. The cubic root of 2199540 is about 130.0500793250.

The spelling of 2199540 in words is "two million, one hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5237 10474 15711 20948 26185 31422 36659 52370 62844 73318 78555 104740 109977 146636 157110 183295 219954 314220 366590 439908 549885 733180 1099770 2199540