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1122098304 = 2734779787
BaseRepresentation
bin100001011100001…
…1101110010000000
32220012102111111110
41002320131302000
54244224121204
6303202243320
736543451425
oct10270356200
92805374443
101122098304
11526439078
12273956540
1314b61a1c2
14a9051d4c
156879d889
hex42e1dc80

1122098304 has 128 divisors (see below), whose sum is σ = 3086438400. Its totient is φ = 360981504.

The previous prime is 1122098303. The next prime is 1122098317. The reversal of 1122098304 is 4038902211.

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

It is not an unprimeable number, because it can be changed into a prime (1122098303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425399 + ... + 1426185.

It is an arithmetic number, because the mean of its divisors is an integer number (24112800).

Almost surely, 21122098304 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 1122098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543219200).

1122098304 is an abundant number, since it is smaller than the sum of its proper divisors (1964340096).

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

1122098304 is an equidigital number, since it uses as much as digits as its factorization.

1122098304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1122098304 is about 33497.7358040808. The cubic root of 1122098304 is about 1039.1469533507.

The spelling of 1122098304 in words is "one billion, one hundred twenty-two million, ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 79 94 96 128 141 158 188 192 237 282 316 376 384 474 564 632 752 787 948 1128 1264 1504 1574 1896 2256 2361 2528 3008 3148 3713 3792 4512 4722 5056 6016 6296 7426 7584 9024 9444 10112 11139 12592 14852 15168 18048 18888 22278 25184 29704 30336 36989 37776 44556 50368 59408 62173 73978 75552 89112 100736 110967 118816 124346 147956 151104 178224 186519 221934 237632 248692 295912 302208 356448 373038 443868 475264 497384 591824 712896 746076 887736 994768 1183648 1425792 1492152 1775472 1989536 2367296 2922131 2984304 3550944 3979072 4734592 5844262 5968608 7101888 7958144 8766393 11688524 11937216 14203776 17532786 23377048 23874432 35065572 46754096 70131144 93508192 140262288 187016384 280524576 374032768 561049152 1122098304