Search a number
-
+
2142252 = 223278501
BaseRepresentation
bin1000001011000000101100
311000211121200
420023000230
51022023002
6113525500
724131430
oct10130054
94024550
102142252
111233562
12873890
135a0108
143da9c0
152c4b1c
hex20b02c

2142252 has 36 divisors (see below), whose sum is σ = 6189456. Its totient is φ = 612000.

The previous prime is 2142251. The next prime is 2142253. The reversal of 2142252 is 2522412.

It is an interprime number because it is at equal distance from previous prime (2142251) and next prime (2142253).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2142251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3999 + ... + 4502.

22142252 is an apocalyptic number.

It is an amenable number.

2142252 is an abundant number, since it is smaller than the sum of its proper divisors (4047204).

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

2142252 is a wasteful number, since it uses less digits than its factorization.

2142252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8513 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2142252 is about 1463.6433991926. The cubic root of 2142252 is about 128.9110618259.

Adding to 2142252 its reverse (2522412), we get a palindrome (4664664).

The spelling of 2142252 in words is "two million, one hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8501 17002 25503 34004 51006 59507 76509 102012 119014 153018 178521 238028 306036 357042 535563 714084 1071126 2142252