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29220044224 = 267599108887
BaseRepresentation
bin11011001101101001…
…100111110111000000
32210102101200001012011
4123031221213313000
5434320312403344
621231250542304
72053046164210
oct331551476700
983371601164
1029220044224
1111434a53788
1257b5897994
1329a890c7c7
1415b2a1a240
15b60410d34
hex6cda67dc0

29220044224 has 56 divisors (see below), whose sum is σ = 66378124800. Its totient is φ = 12501854976.

The previous prime is 29220044143. The next prime is 29220044237. The reversal of 29220044224 is 42244002292.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 213909 + ... + 322795.

Almost surely, 229220044224 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 29220044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33189062400).

29220044224 is an abundant number, since it is smaller than the sum of its proper divisors (37158080576).

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

29220044224 is a wasteful number, since it uses less digits than its factorization.

29220044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109505 (or 109495 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 29220044224 in words is "twenty-nine billion, two hundred twenty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 599 1198 2396 4193 4792 8386 9584 16772 19168 33544 38336 67088 108887 134176 217774 268352 435548 762209 871096 1524418 1742192 3048836 3484384 6097672 6968768 12195344 24390688 48781376 65223313 130446626 260893252 456563191 521786504 913126382 1043573008 1826252764 2087146016 3652505528 4174292032 7305011056 14610022112 29220044224