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2422822272 = 273134311287
BaseRepresentation
bin1001000001101001…
…0101010110000000
320020211222010100020
42100122111112000
514430220303042
61040225253440
7114016435533
oct22032252600
96224863306
102422822272
111033690262
12577494280
132c7c49860
1418dac0a1a
15e2a833ec
hex90695580

2422822272 has 128 divisors (see below), whose sum is σ = 7092476160. Its totient is φ = 728082432.

The previous prime is 2422822249. The next prime is 2422822289. The reversal of 2422822272 is 2722282242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209013 + ... + 220299.

It is an arithmetic number, because the mean of its divisors is an integer number (55409970).

Almost surely, 22422822272 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 2422822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546238080).

2422822272 is an abundant number, since it is smaller than the sum of its proper divisors (4669653888).

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

2422822272 is a wasteful number, since it uses less digits than its factorization.

2422822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11348 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 2422822272 is about 49222.1725648107. The cubic root of 2422822272 is about 1343.0964022667.

The spelling of 2422822272 in words is "two billion, four hundred twenty-two million, eight hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 11287 13416 16512 17888 22574 26832 33861 35776 45148 53664 67722 71552 90296 107328 135444 146731 180592 214656 270888 293462 361184 440193 485341 541776 586924 722368 880386 970682 1083552 1173848 1444736 1456023 1760772 1941364 2167104 2347696 2912046 3521544 3882728 4334208 4695392 5824092 6309433 7043088 7765456 9390784 11648184 12618866 14086176 15530912 18781568 18928299 23296368 25237732 28172352 31061824 37856598 46592736 50475464 56344704 62123648 75713196 93185472 100950928 151426392 186370944 201901856 302852784 403803712 605705568 807607424 1211411136 2422822272