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2195712 = 2832953
BaseRepresentation
bin1000011000000100000000
311010112221200
420120010000
51030230322
6115021200
724443331
oct10300400
94115850
102195712
11126a742
1289a800
135bb54c
14412288
152d58ac
hex218100

2195712 has 54 divisors (see below), whose sum is σ = 6337422. Its totient is φ = 731136.

The previous prime is 2195707. The next prime is 2195717. The reversal of 2195712 is 2175912.

It is an interprime number because it is at equal distance from previous prime (2195707) and next prime (2195717).

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 389376 = 1344^2 + 624^2 .

It is not an unprimeable number, because it can be changed into a prime (2195717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1828 + ... + 2780.

22195712 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 2195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168711).

2195712 is an abundant number, since it is smaller than the sum of its proper divisors (4141710).

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

2195712 is an equidigital number, since it uses as much as digits as its factorization.

2195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2195712 is about 1481.7935078816. The cubic root of 2195712 is about 129.9745906947.

The spelling of 2195712 in words is "two million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 953 1152 1906 2304 2859 3812 5718 7624 8577 11436 15248 17154 22872 30496 34308 45744 60992 68616 91488 121984 137232 182976 243968 274464 365952 548928 731904 1097856 2195712