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198087468 = 223178311699
BaseRepresentation
bin10111100111010…
…01001100101100
3111210201212220220
423303221030230
5401202244333
631353411340
74623500325
oct1363511454
9453655826
10198087468
11a18a7057
1256409b50
1332067927
141c44544c
15125cc8b3
hexbce932c

198087468 has 48 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 61391104.

The previous prime is 198087467. The next prime is 198087473. The reversal of 198087468 is 864780891.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 198087468.

It is not an unprimeable number, because it can be changed into a prime (198087467) 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, 11083 + ... + 22781.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2198087468 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 198087468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

198087468 is an abundant number, since it is smaller than the sum of its proper divisors (297243732).

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

198087468 is a wasteful number, since it uses less digits than its factorization.

198087468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 198087468 is about 14074.3549763391. The cubic root of 198087468 is about 582.9334814812.

The spelling of 198087468 in words is "one hundred ninety-eight million, eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 4233 5644 8466 11699 16932 23398 35097 46796 70194 140388 198883 397766 596649 795532 971017 1193298 1942034 2386596 2913051 3884068 5826102 11652204 16507289 33014578 49521867 66029156 99043734 198087468