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2192220 = 2232519641
BaseRepresentation
bin1000010111001101011100
311010101011100
420113031130
51030122340
6114553100
724430212
oct10271534
94111140
102192220
111268058
12898790
135b9a94
14410cb2
152d4830
hex21735c

2192220 has 72 divisors (see below), whose sum is σ = 7010640. Its totient is φ = 552960.

The previous prime is 2192207. The next prime is 2192243. The reversal of 2192220 is 222912.

2192220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2192193 and 2192202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (97370).

22192220 is an apocalyptic number.

2192220 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 2192220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505320).

2192220 is an abundant number, since it is smaller than the sum of its proper divisors (4818420).

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

2192220 is a wasteful number, since it uses less digits than its factorization.

2192220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2192220 is about 1480.6147371953. The cubic root of 2192220 is about 129.9056514635.

The spelling of 2192220 in words is "two million, one hundred ninety-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 641 684 855 1140 1282 1710 1923 2564 3205 3420 3846 5769 6410 7692 9615 11538 12179 12820 19230 23076 24358 28845 36537 38460 48716 57690 60895 73074 109611 115380 121790 146148 182685 219222 243580 365370 438444 548055 730740 1096110 2192220