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22917296668 = 2273612672
BaseRepresentation
bin10101010101111110…
…100011001000011100
32012011010221021221111
4111111332203020130
5333413311443133
614310021111404
71440624544000
oct252576431034
965133837844
1022917296668
1197a0242202
124536b58564
132212bc3496
141175920700
158e1e251cd
hex555fa321c

22917296668 has 108 divisors (see below), whose sum is σ = 48269566800. Its totient is φ = 9516497760.

The previous prime is 22917296659. The next prime is 22917296687. The reversal of 22917296668 is 86669271922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342049171 + ... + 342049237.

Almost surely, 222917296668 is an apocalyptic number.

22917296668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22917296668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24134783400).

22917296668 is an abundant number, since it is smaller than the sum of its proper divisors (25352270132).

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

22917296668 is an frugal number, since it uses more digits than its factorization.

22917296668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 137 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 22917296668 in words is "twenty-two billion, nine hundred seventeen million, two hundred ninety-six thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 61 67 98 122 134 196 244 268 343 427 469 686 854 938 1372 1708 1876 2989 3283 3721 4087 4489 5978 6566 7442 8174 8978 11956 13132 14884 16348 17956 20923 22981 26047 28609 31423 41846 45962 52094 57218 62846 83692 91924 104188 114436 125692 182329 200263 219961 249307 273829 364658 400526 439922 498614 547658 729316 801052 879844 997228 1095316 1276303 1401841 1539727 1745149 1916803 2552606 2803682 3079454 3490298 3833606 5105212 5607364 6158908 6980596 7667212 12216043 13417621 16703569 24432086 26835242 33407138 48864172 53670484 66814276 85512301 93923347 116924983 171024602 187846694 233849966 342049204 375693388 467699932 818474881 1636949762 3273899524 5729324167 11458648334 22917296668