Search a number
-
+
198240264 = 23331753987
BaseRepresentation
bin10111101000011…
…10100000001000
3111211000122112000
423310032200020
5401222142024
631400551000
74625004645
oct1364164010
9454018460
10198240264
11a19a0932
1256482460
13320bc341
141c484dcc
151260ccc9
hexbd0e808

198240264 has 64 divisors (see below), whose sum is σ = 583070400. Its totient is φ = 62191872.

The previous prime is 198240241. The next prime is 198240283. The reversal of 198240264 is 462042891.

198240264 is a `hidden beast` number, since 198 + 2 + 402 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23322 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (9110475).

Almost surely, 2198240264 is an apocalyptic number.

It is an amenable number.

198240264 is an abundant number, since it is smaller than the sum of its proper divisors (384830136).

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

198240264 is a wasteful number, since it uses less digits than its factorization.

198240264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54019 (or 54009 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 198240264 is about 14079.7821005866. The cubic root of 198240264 is about 583.0833260817.

The spelling of 198240264 in words is "one hundred ninety-eight million, two hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 53987 107974 161961 215948 323922 431896 485883 647844 917779 971766 1295688 1457649 1835558 1943532 2753337 2915298 3671116 3887064 5506674 5830596 7342232 8260011 11013348 11661192 16520022 22026696 24780033 33040044 49560066 66080088 99120132 198240264