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2042238 = 231122997
BaseRepresentation
bin111110010100101111110
310211202102110
413302211332
51010322423
6111434450
723234022
oct7624576
93752373
102042238
111175400
12825a26
13566733
143b2382
152a5193
hex1f297e

2042238 has 48 divisors (see below), whose sum is σ = 4692240. Its totient is φ = 591360.

The previous prime is 2042237. The next prime is 2042263. The reversal of 2042238 is 8322402.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042233) 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, 21006 + ... + 21102.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

22042238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346120).

2042238 is an abundant number, since it is smaller than the sum of its proper divisors (2650002).

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

2042238 is a wasteful number, since it uses less digits than its factorization.

2042238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042238 is about 1429.0689276588. The cubic root of 2042238 is about 126.8728758734.

It can be divided in two parts, 204 and 2238, that added together give a palindrome (2442).

The spelling of 2042238 in words is "two million, forty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 121 174 194 242 291 319 363 582 638 726 957 1067 1914 2134 2813 3201 3509 5626 6402 7018 8439 10527 11737 16878 21054 23474 30943 35211 61886 70422 92829 185658 340373 680746 1021119 2042238