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2221072 = 24722833
BaseRepresentation
bin1000011110010000010000
311011211201221
420132100100
51032033242
6115334424
724610300
oct10362020
94154657
102221072
1112877a7
128b1414
135c9c59
1441b600
152dd167
hex21e410

2221072 has 30 divisors (see below), whose sum is σ = 5007678. Its totient is φ = 951552.

The previous prime is 2221069. The next prime is 2221097. The reversal of 2221072 is 2701222.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 414736 = 1344^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633 + ... + 2200.

22221072 is an apocalyptic number.

It is an amenable number.

2221072 is an abundant number, since it is smaller than the sum of its proper divisors (2786606).

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

2221072 is a wasteful number, since it uses less digits than its factorization.

2221072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2221072 is about 1490.3261388032. The cubic root of 2221072 is about 130.4730693145.

Adding to 2221072 its reverse (2701222), we get a palindrome (4922294).

The spelling of 2221072 in words is "two million, two hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2833 5666 11332 19831 22664 39662 45328 79324 138817 158648 277634 317296 555268 1110536 2221072