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33144419 = 7112914843
BaseRepresentation
bin111111001101…
…1111001100011
32022100220121002
41332123321203
531441110134
63142222215
7551502650
oct176337143
968326532
1033144419
1117788990
12b12496b
136b362a9
14458ac27
152d9a87e
hex1f9be63

33144419 has 16 divisors (see below), whose sum is σ = 42750720. Its totient is φ = 24934560.

The previous prime is 33144413. The next prime is 33144481. The reversal of 33144419 is 91444133.

It is not a de Polignac number, because 33144419 - 216 = 33078883 is a prime.

It is a super-2 number, since 2×331444192 = 2197105021695122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33144391 and 33144400.

It is not an unprimeable number, because it can be changed into a prime (33144413) 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 15 ways as a sum of consecutive naturals, for example, 5189 + ... + 9654.

It is an arithmetic number, because the mean of its divisors is an integer number (2671920).

Almost surely, 233144419 is an apocalyptic number.

33144419 is a deficient number, since it is larger than the sum of its proper divisors (9606301).

33144419 is a wasteful number, since it uses less digits than its factorization.

33144419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890.

The product of its digits is 5184, while the sum is 29.

The square root of 33144419 is about 5757.1189843532. The cubic root of 33144419 is about 321.2206600607.

The spelling of 33144419 in words is "thirty-three million, one hundred forty-four thousand, four hundred nineteen".

Divisors: 1 7 11 29 77 203 319 2233 14843 103901 163273 430447 1142911 3013129 4734917 33144419