Search a number
-
+
199971432 = 23324167741
BaseRepresentation
bin10111110101101…
…01001001101000
3111221021121020100
423322311021220
5402143041212
631502025400
74645505043
oct1372651150
9457247210
10199971432
11a2973551
1256b78260
13325772bb
141c7b5c5a
1512850bdc
hexbeb5268

199971432 has 48 divisors (see below), whose sum is σ = 554806980. Its totient is φ = 65030400.

The previous prime is 199971427. The next prime is 199971433. The reversal of 199971432 is 234179991.

It can be written as a sum of positive squares in 2 ways, for example, as 190274436 + 9696996 = 13794^2 + 3114^2 .

It is a super-2 number, since 2×1999714322 = 79977147232261248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199971433) 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, 30919 + ... + 36822.

Almost surely, 2199971432 is an apocalyptic number.

199971432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199971432 is an abundant number, since it is smaller than the sum of its proper divisors (354835548).

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

199971432 is a wasteful number, since it uses less digits than its factorization.

199971432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67794 (or 67787 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 199971432 is about 14141.1255563339. The cubic root of 199971432 is about 584.7757018705.

The spelling of 199971432 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 67741 135482 203223 270964 406446 541928 609669 812892 1219338 1625784 2438676 2777381 4877352 5554762 8332143 11109524 16664286 22219048 24996429 33328572 49992858 66657144 99985716 199971432