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33224022 = 23213413463
BaseRepresentation
bin111111010111…
…1010101010110
32022111221210100
41332233111112
532001132042
63144034530
7552254016
oct176572526
968457710
1033224022
1117832777
12b162a46
136b635b0
1445abc46
152db424c
hex1faf556

33224022 has 48 divisors (see below), whose sum is σ = 79436448. Its totient is φ = 9970560.

The previous prime is 33224017. The next prime is 33224047. The reversal of 33224022 is 22042233.

It is a super-2 number, since 2×332240222 = 2207671275712968, which contains 22 as substring.

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 = 33223986 and 33224004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7863 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (1654926).

Almost surely, 233224022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33224022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39718224).

33224022 is an abundant number, since it is smaller than the sum of its proper divisors (46212426).

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

33224022 is a wasteful number, since it uses less digits than its factorization.

33224022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3522 counting only the distinct ones).

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

The square root of 33224022 is about 5764.0282789036. The cubic root of 33224022 is about 321.4776131732.

Adding to 33224022 its reverse (22042233), we get a palindrome (55266255).

The spelling of 33224022 in words is "thirty-three million, two hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 3463 4797 6926 9594 10389 20778 31167 45019 62334 90038 135057 141983 270114 283966 405171 425949 810342 851898 1277847 1845779 2555694 3691558 5537337 11074674 16612011 33224022