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201374208 = 293372081
BaseRepresentation
bin11000000000010…
…11101000000000
3112000220212111000
430000023220000
5403022433313
631552052000
74663436550
oct1400135000
9460825430
10201374208
11a3741472
1257534000
1332948949
141ca5d160
1512a2b673
hexc00ba00

201374208 has 160 divisors (see below), whose sum is σ = 681563520. Its totient is φ = 57507840.

The previous prime is 201374191. The next prime is 201374209. The reversal of 201374208 is 802473102.

201374208 is a `hidden beast` number, since 201 + 37 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201374209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95728 + ... + 97808.

It is an arithmetic number, because the mean of its divisors is an integer number (4259772).

Almost surely, 2201374208 is an apocalyptic number.

201374208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340781760).

201374208 is an abundant number, since it is smaller than the sum of its proper divisors (480189312).

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

201374208 is an equidigital number, since it uses as much as digits as its factorization.

201374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 201374208 is about 14190.6380406238. The cubic root of 201374208 is about 586.1398944585.

The spelling of 201374208 in words is "two hundred one million, three hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2081 2304 2688 3024 3456 3584 4032 4162 4608 5376 6048 6243 6912 8064 8324 10752 12096 12486 13824 14567 16128 16648 18729 24192 24972 29134 32256 33296 37458 43701 48384 49944 56187 58268 66592 74916 87402 96768 99888 112374 116536 131103 133184 149832 174804 199776 224748 233072 262206 266368 299664 349608 393309 399552 449496 466144 524412 532736 599328 699216 786618 799104 898992 932288 1048824 1065472 1198656 1398432 1573236 1598208 1797984 1864576 2097648 2397312 2796864 3146472 3196416 3595968 3729152 4195296 4794624 5593728 6292944 7191936 7458304 8390592 9589248 11187456 12585888 14383872 16781184 22374912 25171776 28767744 33562368 50343552 67124736 100687104 201374208