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2251101 = 31973541
BaseRepresentation
bin1000100101100101011101
311020100221010
420211211131
51034013401
6120125433
725063656
oct10454535
94210833
102251101
1112a8316
12906879
1360a818
1442852d
152e6ed6
hex22595d

2251101 has 16 divisors (see below), whose sum is σ = 3208640. Its totient is φ = 1399680.

The previous prime is 2251099. The next prime is 2251103. The reversal of 2251101 is 1011522.

2251101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2251099) and next prime (2251103).

It is not a de Polignac number, because 2251101 - 21 = 2251099 is a prime.

It is a Duffinian number.

It is a Curzon number.

2251101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251103) 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 15 ways as a sum of consecutive naturals, for example, 3891 + ... + 4431.

It is an arithmetic number, because the mean of its divisors is an integer number (200540).

22251101 is an apocalyptic number.

It is an amenable number.

2251101 is a deficient number, since it is larger than the sum of its proper divisors (957539).

2251101 is a wasteful number, since it uses less digits than its factorization.

2251101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 2251101 is about 1500.3669551146. The cubic root of 2251101 is about 131.0584398272.

Adding to 2251101 its reverse (1011522), we get a palindrome (3262623).

It can be divided in two parts, 225 and 1101, that added together give a triangular number (1326 = T51).

The spelling of 2251101 in words is "two million, two hundred fifty-one thousand, one hundred one".

Divisors: 1 3 19 57 73 219 541 1387 1623 4161 10279 30837 39493 118479 750367 2251101