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2112398208 = 27321833679
BaseRepresentation
bin111110111101000…
…1010001110000000
312110012211221120200
41331322022032000
513311233220313
6545340005200
7103230042234
oct17572121600
95405757520
102112398208
11994437048
124ab530800
1327883c18b
141607965c4
15c56b5b73
hex7de8a380

2112398208 has 48 divisors (see below), whose sum is σ = 6078649200. Its totient is φ = 704132352.

The previous prime is 2112398203. The next prime is 2112398227. The reversal of 2112398208 is 8028932112.

2112398208 is a `hidden beast` number, since 211 + 239 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21123982082 = 8924452378323222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112398201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 915688 + ... + 917991.

It is an arithmetic number, because the mean of its divisors is an integer number (126638525).

Almost surely, 22112398208 is an apocalyptic number.

It is an amenable number.

2112398208 is an abundant number, since it is smaller than the sum of its proper divisors (3966250992).

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

2112398208 is a wasteful number, since it uses less digits than its factorization.

2112398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833699 (or 1833684 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2112398208 is about 45960.8334128092. The cubic root of 2112398208 is about 1283.0943624001.

The spelling of 2112398208 in words is "two billion, one hundred twelve million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1833679 3667358 5501037 7334716 11002074 14669432 16503111 22004148 29338864 33006222 44008296 58677728 66012444 88016592 117355456 132024888 176033184 234710912 264049776 352066368 528099552 704132736 1056199104 2112398208