Search a number
-
+
199820952 = 2333925097
BaseRepresentation
bin10111110100100…
…00011010011000
3111220222221211000
423322100122120
5402123232302
631454505000
74644310242
oct1372203230
9456887730
10199820952
11a2880491
1256b05160
1332523966
141c777092
151282131c
hexbe90698

199820952 has 32 divisors (see below), whose sum is σ = 555058800. Its totient is φ = 66606912.

The previous prime is 199820917. The next prime is 199820983. The reversal of 199820952 is 259028991.

It is a junction number, because it is equal to n+sod(n) for n = 199820898 and 199820907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462333 + ... + 462764.

Almost surely, 2199820952 is an apocalyptic number.

199820952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199820952 is an abundant number, since it is smaller than the sum of its proper divisors (355237848).

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

199820952 is a wasteful number, since it uses less digits than its factorization.

199820952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925112 (or 925102 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 199820952 is about 14135.8039035635. The cubic root of 199820952 is about 584.6289823636.

The spelling of 199820952 in words is "one hundred ninety-nine million, eight hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 925097 1850194 2775291 3700388 5550582 7400776 8325873 11101164 16651746 22202328 24977619 33303492 49955238 66606984 99910476 199820952