Search a number
-
+
193193850 = 235210712037
BaseRepresentation
bin10111000001111…
…10011101111010
3111110112021010210
423200332131322
5343424200400
631100451550
74534056243
oct1340763572
9443467123
10193193850
119a064443
1254849bb6
13310433b5
141b92dcca
1511e62950
hexb83e77a

193193850 has 48 divisors (see below), whose sum is σ = 483638688. Its totient is φ = 51032640.

The previous prime is 193193807. The next prime is 193193867. The reversal of 193193850 is 58391391.

It is a junction number, because it is equal to n+sod(n) for n = 193193799 and 193193808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10032 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (10075806).

Almost surely, 2193193850 is an apocalyptic number.

193193850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193193850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241819344).

193193850 is an abundant number, since it is smaller than the sum of its proper divisors (290444838).

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

193193850 is a wasteful number, since it uses less digits than its factorization.

193193850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 193193850 is about 13899.4190526079. The cubic root of 193193850 is about 578.0930733769.

The spelling of 193193850 in words is "one hundred ninety-three million, one hundred ninety-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 321 535 642 1070 1605 2675 3210 5350 8025 12037 16050 24074 36111 60185 72222 120370 180555 300925 361110 601850 902775 1287959 1805550 2575918 3863877 6439795 7727754 12879590 19319385 32198975 38638770 64397950 96596925 193193850