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2185972 = 221373989
BaseRepresentation
bin1000010101101011110100
311010001120221
420111223310
51024422342
6114504124
724403045
oct10255364
94101527
102185972
111263398
12895044
135b6c99
1440c8cc
152d2a67
hex215af4

2185972 has 12 divisors (see below), whose sum is σ = 3854340. Its totient is φ = 1084736.

The previous prime is 2185949. The next prime is 2185973. The reversal of 2185972 is 2795812.

2185972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1157776 + 1028196 = 1076^2 + 1014^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185973) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1447 + ... + 2542.

It is an arithmetic number, because the mean of its divisors is an integer number (321195).

22185972 is an apocalyptic number.

It is an amenable number.

2185972 is a deficient number, since it is larger than the sum of its proper divisors (1668368).

2185972 is a wasteful number, since it uses less digits than its factorization.

2185972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4128 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 2185972 is about 1478.5032972571. The cubic root of 2185972 is about 129.7821202450.

The spelling of 2185972 in words is "two million, one hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 137 274 548 3989 7978 15956 546493 1092986 2185972