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42033222 = 2337112919
BaseRepresentation
bin1010000001011…
…0000001000110
32221002111202000
42200112001012
541230030342
64100530130
71020163560
oct240260106
987074660
1042033222
11217aa200
12120b0946
13892913a
145822330
153a5444c
hex2816046

42033222 has 96 divisors (see below), whose sum is σ = 117465600. Its totient is φ = 10905840.

The previous prime is 42033217. The next prime is 42033223. The reversal of 42033222 is 22233024.

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

It is a junction number, because it is equal to n+sod(n) for n = 42033195 and 42033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45279 + ... + 46197.

It is an arithmetic number, because the mean of its divisors is an integer number (1223600).

Almost surely, 242033222 is an apocalyptic number.

42033222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732800).

42033222 is an abundant number, since it is smaller than the sum of its proper divisors (75432378).

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

42033222 is a wasteful number, since it uses less digits than its factorization.

42033222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42033222 is about 6483.3033246949. The cubic root of 42033222 is about 347.6942915698.

Adding to 42033222 its reverse (22233024), we get a palindrome (64266246).

The spelling of 42033222 in words is "forty-two million, thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 919 1089 1386 1694 1838 2079 2178 2541 2757 3267 4158 5082 5514 6433 6534 7623 8271 10109 12866 15246 16542 19299 20218 22869 24813 30327 38598 45738 49626 57897 60654 70763 90981 111199 115794 141526 173691 181962 212289 222398 272943 333597 347382 424578 545886 636867 667194 778393 1000791 1273734 1556786 1910601 2001582 2335179 3002373 3821202 4670358 6004746 7005537 14011074 21016611 42033222