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198040356 = 223310916823
BaseRepresentation
bin10111100110111…
…01101100100100
3111210122111022000
423303131230210
5401144242411
631352405300
74623213063
oct1363355444
9453574260
10198040356
11a1874718
12563a6830
133204c357
141c4321da
15125bd956
hexbcddb24

198040356 has 48 divisors (see below), whose sum is σ = 518179200. Its totient is φ = 65403936.

The previous prime is 198040351. The next prime is 198040387. The reversal of 198040356 is 653040891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 198040356.

It is not an unprimeable number, because it can be changed into a prime (198040351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (10795400).

Almost surely, 2198040356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198040356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259089600).

198040356 is an abundant number, since it is smaller than the sum of its proper divisors (320138844).

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

198040356 is a wasteful number, since it uses less digits than its factorization.

198040356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 198040356 is about 14072.6811944277. The cubic root of 198040356 is about 582.8872639525.

The spelling of 198040356 in words is "one hundred ninety-eight million, forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 16823 33646 50469 67292 100938 151407 201876 302814 454221 605628 908442 1816884 1833707 3667414 5501121 7334828 11002242 16503363 22004484 33006726 49510089 66013452 99020178 198040356