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195031800 = 2335524013
BaseRepresentation
bin10111001111111…
…11001011111000
3111120222122100000
423213333023320
5344412004200
631204113000
74555512555
oct1347771370
9446878300
10195031800
11a00aa307
1255395760
1331537b42
141bc8ba2c
15121c7300
hexb9ff2f8

195031800 has 144 divisors (see below), whose sum is σ = 679409640. Its totient is φ = 51995520.

The previous prime is 195031787. The next prime is 195031807. The reversal of 195031800 is 8130591.

195031800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1950318002 = 76074806022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195031807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46594 + ... + 50606.

Almost surely, 2195031800 is an apocalyptic number.

195031800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339704820).

195031800 is an abundant number, since it is smaller than the sum of its proper divisors (484377840).

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

195031800 is a wasteful number, since it uses less digits than its factorization.

195031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 195031800 is about 13965.3786200017. The cubic root of 195031800 is about 579.9205202228.

The spelling of 195031800 in words is "one hundred ninety-five million, thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4013 4050 4860 5400 6075 8026 8100 9720 12039 12150 16052 16200 20065 24078 24300 32104 36117 40130 48156 48600 60195 72234 80260 96312 100325 108351 120390 144468 160520 180585 200650 216702 240780 288936 300975 325053 361170 401300 433404 481560 541755 601950 650106 722340 802600 866808 902925 975159 1083510 1203900 1300212 1444680 1625265 1805850 1950318 2167020 2407800 2600424 2708775 3250530 3611700 3900636 4334040 4875795 5417550 6501060 7223400 7801272 8126325 9751590 10835100 13002120 16252650 19503180 21670200 24378975 32505300 39006360 48757950 65010600 97515900 195031800