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34224020224 = 28671995337
BaseRepresentation
bin11111110111111010…
…010001101100000000
310021100010112100210121
4133313322101230000
51030042322121344
623420003310024
72321050241422
oct376772215400
9107303470717
1034224020224
1113572626a39
12677167b314
1332c5531054
141929434812
15d548a0684
hex7f7e91b00

34224020224 has 36 divisors (see below), whose sum is σ = 69334004824. Its totient is φ = 16856598528.

The previous prime is 34224020167. The next prime is 34224020297. The reversal of 34224020224 is 42202042243.

It is a super-2 number, since 2×342240202242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 980517 + ... + 1014820.

Almost surely, 234224020224 is an apocalyptic number.

It is an amenable number.

34224020224 is an abundant number, since it is smaller than the sum of its proper divisors (35109984600).

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

34224020224 is an equidigital number, since it uses as much as digits as its factorization.

34224020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995420 (or 1995406 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 34224020224 its reverse (42202042243), we get a palindrome (76426062467).

The spelling of 34224020224 in words is "thirty-four billion, two hundred twenty-four million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 8576 17152 1995337 3990674 7981348 15962696 31925392 63850784 127701568 133687579 255403136 267375158 510806272 534750316 1069500632 2139001264 4278002528 8556005056 17112010112 34224020224