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2198445228 = 2232731281419
BaseRepresentation
bin1000001100001001…
…1001110010101100
312200012202120220100
42003002121302230
514000300221403
61002052151100
7105323322210
oct20302316254
95605676810
102198445228
11a28a68491
12514308490
13290608a85
1416bd94940
15cd0112a3
hex83099cac

2198445228 has 72 divisors (see below), whose sum is σ = 6555960320. Its totient is φ = 607862880.

The previous prime is 2198445211. The next prime is 2198445229. The reversal of 2198445228 is 8225448912.

2198445228 is a `hidden beast` number, since 2 + 198 + 4 + 452 + 2 + 8 = 666.

It is a super-2 number, since 2×21984452282 = 9666322841031943968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2198445229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 132898 + ... + 148521.

Almost surely, 22198445228 is an apocalyptic number.

2198445228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2198445228 is an abundant number, since it is smaller than the sum of its proper divisors (4357515092).

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

2198445228 is a wasteful number, since it uses less digits than its factorization.

2198445228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281467 (or 281462 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2198445228 is about 46887.5807437321. The cubic root of 2198445228 is about 1300.2849923504.

The spelling of 2198445228 in words is "two billion, one hundred ninety-eight million, four hundred forty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 281419 562838 844257 1125676 1688514 1969933 2532771 3377028 3939866 5065542 5909799 7879732 8723989 10131084 11819598 17447978 17729397 23639196 26171967 34895956 35458794 52343934 61067923 70917588 78515901 104687868 122135846 157031802 183203769 244271692 314063604 366407538 549611307 732815076 1099222614 2198445228