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208481400 = 233252115823
BaseRepresentation
bin11000110110100…
…10110001111000
3112112021221201100
430123102301320
5411332401100
632404251400
75111030331
oct1433226170
9475257640
10208481400
11a7756186
12599a0b60
133426689a
141d98d288
1513482400
hexc6d2c78

208481400 has 72 divisors (see below), whose sum is σ = 700156080. Its totient is φ = 55594560.

The previous prime is 208481393. The next prime is 208481423. The reversal of 208481400 is 4184802.

208481400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56112 + ... + 59711.

It is an arithmetic number, because the mean of its divisors is an integer number (9724390).

Almost surely, 2208481400 is an apocalyptic number.

208481400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208481400 is an abundant number, since it is smaller than the sum of its proper divisors (491674680).

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

208481400 is a wasteful number, since it uses less digits than its factorization.

208481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115845 (or 115833 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 208481400 is about 14438.8849985032. The cubic root of 208481400 is about 592.9559594459.

The spelling of 208481400 in words is "two hundred eight million, four hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 115823 231646 347469 463292 579115 694938 926584 1042407 1158230 1389876 1737345 2084814 2316460 2779752 2895575 3474690 4169628 4632920 5212035 5791150 6949380 8339256 8686725 10424070 11582300 13898760 17373450 20848140 23164600 26060175 34746900 41696280 52120350 69493800 104240700 208481400