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195216021 = 337111331233
BaseRepresentation
bin10111010001011…
…00001010010101
3111121100000001000
423220230022111
5344433403041
631212053513
74560210630
oct1350541225
9447300030
10195216021
11a0215760
1255464299
13315a0950
141bcd8c17
1512211bb6
hexba2c295

195216021 has 128 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 90201600.

The previous prime is 195216017. The next prime is 195216029. The reversal of 195216021 is 120612591.

195216021 is a `hidden beast` number, since 1 + 9 + 52 + 1 + 602 + 1 = 666.

It is not a de Polignac number, because 195216021 - 22 = 195216017 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195216029) 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 127 ways as a sum of consecutive naturals, for example, 837721 + ... + 837953.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2195216021 is an apocalyptic number.

195216021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

195216021 is an abundant number, since it is smaller than the sum of its proper divisors (207338859).

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

195216021 is a wasteful number, since it uses less digits than its factorization.

195216021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 195216021 is about 13971.9726953641. The cubic root of 195216021 is about 580.1030544191.

The spelling of 195216021 in words is "one hundred ninety-five million, two hundred sixteen thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 27 31 33 39 63 77 91 93 99 117 143 189 217 231 233 273 279 297 341 351 403 429 651 693 699 819 837 1001 1023 1209 1287 1631 1953 2079 2097 2387 2457 2563 2821 3003 3029 3069 3627 3861 4433 4893 5859 6291 7161 7223 7689 8463 9009 9087 9207 10881 13299 14679 17941 21203 21483 21669 23067 25389 27027 27261 31031 33319 39897 44037 50561 53823 63609 64449 65007 69201 76167 79453 81783 93093 93899 99957 119691 151683 161469 190827 195021 233233 238359 279279 281697 299871 455049 484407 556171 572481 657293 699699 715077 837837 845091 899613 1032889 1365147 1668513 1971879 2099097 2145231 2535273 3098667 5005539 5915637 6297291 7230223 9296001 15016617 17746911 21690669 27888003 65072007 195216021