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33042222 = 233472277
BaseRepresentation
bin111111000001…
…0111100101110
32022011201102000
41332002330232
531424322342
63140113130
7550566003
oct176027456
968151360
1033042222
1117719124
12b0957a6
136acb915
1445618aa
152d7a44c
hex1f82f2e

33042222 has 48 divisors (see below), whose sum is σ = 75293520. Its totient is φ = 10740816.

The previous prime is 33042199. The next prime is 33042227. The reversal of 33042222 is 22224033.

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 = 33042195 and 33042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33042227) 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, 119148 + ... + 119424.

It is an arithmetic number, because the mean of its divisors is an integer number (1568615).

Almost surely, 233042222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37646760).

33042222 is an abundant number, since it is smaller than the sum of its proper divisors (42251298).

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

33042222 is a wasteful number, since it uses less digits than its factorization.

33042222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 329 counting only the distinct ones).

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

The square root of 33042222 is about 5748.2364252003. The cubic root of 33042222 is about 320.8901711787.

Adding to 33042222 its reverse (22224033), we get a palindrome (55266255).

The spelling of 33042222 in words is "thirty-three million, forty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 277 282 423 554 831 846 1269 1662 2209 2493 2538 4418 4986 6627 7479 13019 13254 14958 19881 26038 39057 39762 59643 78114 117171 119286 234342 351513 611893 703026 1223786 1835679 3671358 5507037 11014074 16521111 33042222