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2195200 = 285273
BaseRepresentation
bin1000010111111100000000
311010112020201
420113330000
51030221300
6115014544
724442000
oct10277400
94115221
102195200
11126a317
1289a454
135bb247
14412000
152d566a
hex217f00

2195200 has 108 divisors (see below), whose sum is σ = 6336400. Its totient is φ = 752640.

The previous prime is 2195191. The next prime is 2195201. The reversal of 2195200 is 25912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195201) 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, 313597 + ... + 313603.

22195200 is an apocalyptic number.

2195200 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 2195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168200).

2195200 is an abundant number, since it is smaller than the sum of its proper divisors (4141200).

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

2195200 is an frugal number, since it uses more digits than its factorization.

2195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2195200 is about 1481.6207341962. The cubic root of 2195200 is about 129.9644873412.

The spelling of 2195200 in words is "two million, one hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 343 350 392 400 448 490 560 640 686 700 784 800 896 980 1120 1225 1280 1372 1400 1568 1600 1715 1792 1960 2240 2450 2744 2800 3136 3200 3430 3920 4480 4900 5488 5600 6272 6400 6860 7840 8575 8960 9800 10976 11200 12544 13720 15680 17150 19600 21952 22400 27440 31360 34300 39200 43904 44800 54880 62720 68600 78400 87808 109760 137200 156800 219520 274400 313600 439040 548800 1097600 2195200