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22920230304 = 253279584133
BaseRepresentation
bin10101010110001001…
…101111010110100000
32012011100110100010200
4111112021233112200
5333420034332204
614310204025200
71440661512606
oct252611572640
965140410120
1022920230304
1197a19662a4
124537b32200
1322136ac86a
141176085876
158e2304539
hex55626f5a0

22920230304 has 36 divisors (see below), whose sum is σ = 65179405746. Its totient is φ = 7640076672.

The previous prime is 22920230303. The next prime is 22920230317. The reversal of 22920230304 is 40303202922.

It can be written as a sum of positive squares in only one way, i.e., 22626176400 + 294053904 = 150420^2 + 17148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (22920230303) 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 5 ways as a sum of consecutive naturals, for example, 39791779 + ... + 39792354.

Almost surely, 222920230304 is an apocalyptic number.

22920230304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22920230304 is an abundant number, since it is smaller than the sum of its proper divisors (42259175442).

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

22920230304 is a wasteful number, since it uses less digits than its factorization.

22920230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79584149 (or 79584138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 22920230304 in words is "twenty-two billion, nine hundred twenty million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 79584133 159168266 238752399 318336532 477504798 636673064 716257197 955009596 1273346128 1432514394 1910019192 2546692256 2865028788 3820038384 5730057576 7640076768 11460115152 22920230304