Search a number
-
+
198667014 = 237131971847
BaseRepresentation
bin10111101011101…
…10101100000110
3111211211022220120
423311312230012
5401324321024
631414042410
74631433060
oct1365665406
9454738816
10198667014
11a2162517
1256649406
133220b660
141c556730
1512694479
hexbd76b06

198667014 has 64 divisors (see below), whose sum is σ = 491774976. Its totient is φ = 52101504.

The previous prime is 198667013. The next prime is 198667039. The reversal of 198667014 is 410766891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198667013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106639 + ... + 108485.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2198667014 is an apocalyptic number.

198667014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198667014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

198667014 is an abundant number, since it is smaller than the sum of its proper divisors (293107962).

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

198667014 is a wasteful number, since it uses less digits than its factorization.

198667014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 198667014 is about 14094.9286624658. The cubic root of 198667014 is about 583.5014255899.

The spelling of 198667014 in words is "one hundred ninety-eight million, six hundred sixty-seven thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 197 273 394 546 591 1182 1379 1847 2561 2758 3694 4137 5122 5541 7683 8274 11082 12929 15366 17927 24011 25858 35854 38787 48022 53781 72033 77574 107562 144066 168077 336154 363859 504231 727718 1008462 1091577 2183154 2547013 4730167 5094026 7641039 9460334 14190501 15282078 28381002 33111169 66222338 99333507 198667014