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33422224 = 2411533583
BaseRepresentation
bin111111101111…
…1101110010000
32022220000200011
41333133232100
532024002344
63152204304
7554040613
oct177375620
968800604
1033422224
1117958680
12b239694
136c02884
14462017a
152e02d34
hex1fdfb90

33422224 has 40 divisors (see below), whose sum is σ = 71995392. Its totient is φ = 14901120.

The previous prime is 33422203. The next prime is 33422227. The reversal of 33422224 is 42222433.

It is a super-2 number, since 2×334222242 = 2234090114212352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33422195 and 33422204.

It is not an unprimeable number, because it can be changed into a prime (33422227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7537 + ... + 11119.

Almost surely, 233422224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997696).

33422224 is an abundant number, since it is smaller than the sum of its proper divisors (38573168).

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

33422224 is a wasteful number, since it uses less digits than its factorization.

33422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3649 counting only the distinct ones).

The product of its digits is 2304, while the sum is 22.

The square root of 33422224 is about 5781.1957240695. The cubic root of 33422224 is about 322.1156175994.

Adding to 33422224 its reverse (42222433), we get a palindrome (75644657).

The spelling of 33422224 in words is "thirty-three million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 3583 4664 7166 9328 14332 28664 39413 57328 78826 157652 189899 315304 379798 630608 759596 1519192 2088889 3038384 4177778 8355556 16711112 33422224