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2198113470 = 233573673169
BaseRepresentation
bin1000001100000100…
…1000110010111110
312200012010201211000
42003001020302332
514000204112340
61002041111130
7105320441040
oct20301106276
95605121730
102198113470
11a28861203
125141884a6
13290520a77
1416bd09a90
15cce97d30
hex83048cbe

2198113470 has 128 divisors (see below), whose sum is σ = 6719385600. Its totient is φ = 500898816.

The previous prime is 2198113457. The next prime is 2198113513. The reversal of 2198113470 is 743118912.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692046 + ... + 695214.

It is an arithmetic number, because the mean of its divisors is an integer number (52495200).

Almost surely, 22198113470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198113470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359692800).

2198113470 is an abundant number, since it is smaller than the sum of its proper divisors (4521272130).

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

2198113470 is a wasteful number, since it uses less digits than its factorization.

2198113470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2198113470 is about 46884.0428077614. The cubic root of 2198113470 is about 1300.2195822378.

The spelling of 2198113470 in words is "two billion, one hundred ninety-eight million, one hundred thirteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 367 378 630 734 945 1101 1835 1890 2202 2569 3169 3303 3670 5138 5505 6338 6606 7707 9507 9909 11010 12845 15414 15845 16515 19014 19818 22183 23121 25690 28521 31690 33030 38535 44366 46242 47535 49545 57042 66549 69363 77070 85563 95070 99090 110915 115605 133098 138726 142605 171126 199647 221830 231210 285210 332745 346815 399294 427815 598941 665490 693630 855630 998235 1163023 1197882 1996470 2326046 2994705 3489069 5815115 5989410 6978138 8141161 10467207 11630230 16282322 17445345 20934414 24423483 31401621 34890690 40705805 48846966 52336035 62803242 73270449 81411610 104672070 122117415 146540898 157008105 219811347 244234830 314016210 366352245 439622694 732704490 1099056735 2198113470