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198833070 = 23531213799
BaseRepresentation
bin10111101100111…
…11001110101110
3111212010202200210
423312133032232
5401400124240
631421403250
74633024152
oct1366371656
9455122623
10198833070
11a2266257
1256709526
1332269107
141c59b062
15126c8780
hexbd9f3ae

198833070 has 32 divisors (see below), whose sum is σ = 492595200. Its totient is φ = 51311520.

The previous prime is 198833029. The next prime is 198833147. The reversal of 198833070 is 70338891.

198833070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105970 + ... + 107829.

It is an arithmetic number, because the mean of its divisors is an integer number (15393600).

Almost surely, 2198833070 is an apocalyptic number.

198833070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198833070 is an abundant number, since it is smaller than the sum of its proper divisors (293762130).

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

198833070 is a wasteful number, since it uses less digits than its factorization.

198833070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213840.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 198833070 is about 14100.8180613750. The cubic root of 198833070 is about 583.6639537101.

The spelling of 198833070 in words is "one hundred ninety-eight million, eight hundred thirty-three thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 213799 427598 641397 1068995 1282794 2137990 3206985 6413970 6627769 13255538 19883307 33138845 39766614 66277690 99416535 198833070