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2195456 = 21567
BaseRepresentation
bin1000011000000000000000
311010112121012
420120000000
51030223311
6115020052
724442514
oct10300000
94115535
102195456
11126a52a
1289a628
135bb3b3
14412144
152d578b
hex218000

2195456 has 32 divisors (see below), whose sum is σ = 4456380. Its totient is φ = 1081344.

The previous prime is 2195443. The next prime is 2195461. The reversal of 2195456 is 6545912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 216 + 1 + 95 + 54 + 4 + 58 + 68 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32735 + ... + 32801.

22195456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228190).

2195456 is an abundant number, since it is smaller than the sum of its proper divisors (2260924).

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

2195456 is an frugal number, since it uses more digits than its factorization.

2195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 2195456 is about 1481.7071235571. The cubic root of 2195456 is about 129.9695392143.

The spelling of 2195456 in words is "two million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2048 2144 4096 4288 8192 8576 16384 17152 32768 34304 68608 137216 274432 548864 1097728 2195456