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197414016 = 2734112539
BaseRepresentation
bin10111100010001…
…00110010000000
3111202110200010020
423301010302000
5401014222031
631331133440
74614664032
oct1361046200
9452420106
10197414016
11a1487088
1256144280
1331b90237
141c30bc52
15124e8096
hexbc44c80

197414016 has 64 divisors (see below), whose sum is σ = 537213600. Its totient is φ = 64194560.

The previous prime is 197414011. The next prime is 197414033. The reversal of 197414016 is 610414791.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (197414011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9475 + ... + 22013.

Almost surely, 2197414016 is an apocalyptic number.

197414016 is a gapful number since it is divisible by the number (16) 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 197414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268606800).

197414016 is an abundant number, since it is smaller than the sum of its proper divisors (339799584).

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

197414016 is a wasteful number, since it uses less digits than its factorization.

197414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 197414016 is about 14050.4098160872. The cubic root of 197414016 is about 582.2721179994.

The spelling of 197414016 in words is "one hundred ninety-seven million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 12539 15744 25078 37617 50156 75234 100312 150468 200624 300936 401248 514099 601872 802496 1028198 1203744 1542297 1604992 2056396 2407488 3084594 4112792 4814976 6169188 8225584 12338376 16451168 24676752 32902336 49353504 65804672 98707008 197414016