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2192260 = 225722237
BaseRepresentation
bin1000010111001110000100
311010101012211
420113032010
51030123020
6114553204
724430300
oct10271604
94111184
102192260
111268094
12898804
135b9ac5
14410d00
152d485a
hex217384

2192260 has 36 divisors (see below), whose sum is σ = 5357772. Its totient is φ = 751296.

The previous prime is 2192257. The next prime is 2192261. The reversal of 2192260 is 622912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 906304 = 1134^2 + 952^2 .

It is not an unprimeable number, because it can be changed into a prime (2192261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 2098.

It is an arithmetic number, because the mean of its divisors is an integer number (148827).

22192260 is an apocalyptic number.

2192260 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 2192260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678886).

2192260 is an abundant number, since it is smaller than the sum of its proper divisors (3165512).

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

2192260 is a wasteful number, since it uses less digits than its factorization.

2192260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2192260 is about 1480.6282450365. The cubic root of 2192260 is about 129.9064415597.

The spelling of 2192260 in words is "two million, one hundred ninety-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2237 4474 8948 11185 15659 22370 31318 44740 62636 78295 109613 156590 219226 313180 438452 548065 1096130 2192260