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210199000 = 23531197197
BaseRepresentation
bin11001000011101…
…10000111011000
3112122112012211011
430201312013120
5412302332000
632505143304
75131443034
oct1441660730
9478465734
10210199000
11a8719690
125a48ab34
133471860b
141dcb91c4
15136c12ba
hexc8761d8

210199000 has 128 divisors (see below), whose sum is σ = 544864320. Its totient is φ = 75264000.

The previous prime is 210198983. The next prime is 210199037. The reversal of 210199000 is 991012.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 1066902 + ... + 1067098.

Almost surely, 2210199000 is an apocalyptic number.

210199000 is a gapful number since it is divisible by the number (20) 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 210199000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

210199000 is an abundant number, since it is smaller than the sum of its proper divisors (334665320).

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

210199000 is a wasteful number, since it uses less digits than its factorization.

210199000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 210199000 is about 14498.2412726510. The cubic root of 210199000 is about 594.5798884569.

It can be divided in two parts, 2101 and 99000, that added together give a palindrome (101101).

The spelling of 210199000 in words is "two hundred ten million, one hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 197 200 220 250 275 388 394 440 485 500 550 776 788 970 985 1000 1067 1100 1375 1576 1940 1970 2134 2167 2200 2425 2750 3880 3940 4268 4334 4850 4925 5335 5500 7880 8536 8668 9700 9850 10670 10835 11000 12125 17336 19109 19400 19700 21340 21670 24250 24625 26675 38218 39400 42680 43340 48500 49250 53350 54175 76436 86680 95545 97000 98500 106700 108350 133375 152872 191090 197000 210199 213400 216700 266750 270875 382180 420398 433400 477725 533500 541750 764360 840796 955450 1050995 1067000 1083500 1681592 1910900 2101990 2167000 2388625 3821800 4203980 4777250 5254975 8407960 9554500 10509950 19109000 21019900 26274875 42039800 52549750 105099500 210199000