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198071172 = 223213423229
BaseRepresentation
bin10111100111001…
…01001110000100
3111210201001120100
423303211032010
5401201234142
631353204100
74623401655
oct1363451604
9453631510
10198071172
11a1895892
1256400630
13320603a0
141c43d52c
15125c7b4c
hexbce5384

198071172 has 36 divisors (see below), whose sum is σ = 539195020. Its totient is φ = 60944832.

The previous prime is 198071149. The next prime is 198071177. The reversal of 198071172 is 271170891.

198071172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 68657796 = 11376^2 + 8286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (198071177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211147 + ... + 212082.

Almost surely, 2198071172 is an apocalyptic number.

198071172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198071172 is an abundant number, since it is smaller than the sum of its proper divisors (341123848).

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

198071172 is a wasteful number, since it uses less digits than its factorization.

198071172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423252 (or 423247 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 198071172 is about 14073.7760391446. The cubic root of 198071172 is about 582.9174957071.

The spelling of 198071172 in words is "one hundred ninety-eight million, seventy-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 423229 846458 1269687 1692916 2539374 3809061 5078748 5501977 7618122 11003954 15236244 16505931 22007908 33011862 49517793 66023724 99035586 198071172