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22313230208 = 27717931079
BaseRepresentation
bin10100110001111110…
…001101111110000000
32010121001021112112122
4110301332031332000
5331144141331313
614130041543412
71416641220203
oct246176157600
963531245478
1022313230208
119510267125
1243a87a4b68
132147a029c9
1411195d993a
158a8da2708
hex531f8df80

22313230208 has 64 divisors (see below), whose sum is σ = 45650304000. Its totient is φ = 10859896320.

The previous prime is 22313230111. The next prime is 22313230223. The reversal of 22313230208 is 80203231322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×223132302083 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702413 + ... + 733491.

It is an arithmetic number, because the mean of its divisors is an integer number (713286000).

Almost surely, 222313230208 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 22313230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825152000).

22313230208 is an abundant number, since it is smaller than the sum of its proper divisors (23337073792).

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

22313230208 is an equidigital number, since it uses as much as digits as its factorization.

22313230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31243 (or 31231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 22313230208 in words is "twenty-two billion, three hundred thirteen million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 71 79 128 142 158 284 316 568 632 1136 1264 2272 2528 4544 5056 5609 9088 10112 11218 22436 31079 44872 62158 89744 124316 179488 248632 358976 497264 717952 994528 1989056 2206609 2455241 3978112 4413218 4910482 8826436 9820964 17652872 19641928 35305744 39283856 70611488 78567712 141222976 157135424 174322111 282445952 314270848 348644222 697288444 1394576888 2789153776 5578307552 11156615104 22313230208