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2522142 = 232737541
BaseRepresentation
bin1001100111110000011110
311202010201200
421213300132
51121202032
6130020330
730303120
oct11476036
94663650
102522142
111472a17
12a176a6
136a3cbc
14499210
1534c47c
hex267c1e

2522142 has 48 divisors (see below), whose sum is σ = 6425952. Its totient is φ = 699840.

The previous prime is 2522119. The next prime is 2522147. The reversal of 2522142 is 2412252.

2522142 is a `hidden beast` number, since 2 + 522 + 142 = 666.

It is a super-2 number, since 2×25221422 = 12722400536328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2522147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4392 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (133874).

22522142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2522142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212976).

2522142 is an abundant number, since it is smaller than the sum of its proper divisors (3903810).

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

2522142 is a wasteful number, since it uses less digits than its factorization.

2522142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 590 counting only the distinct ones).

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

The square root of 2522142 is about 1588.1253099173. The cubic root of 2522142 is about 136.1203879219.

Adding to 2522142 its reverse (2412252), we get a palindrome (4934394).

The spelling of 2522142 in words is "two million, five hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 541 666 777 1082 1554 1623 2331 3246 3787 4662 4869 7574 9738 11361 20017 22722 34083 40034 60051 68166 120102 140119 180153 280238 360306 420357 840714 1261071 2522142