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193893336 = 2332713101293
BaseRepresentation
bin10111000111010…
…01001111011000
3111111211210122200
423203221033120
5344114041321
631123450200
74543031460
oct1343511730
9444753580
10193893336
119a4a1a2a
1254b26960
13312298b0
141ba72ba0
151204ed26
hexb8e93d8

193893336 has 192 divisors, whose sum is σ = 654937920. Its totient is φ = 50457600.

The previous prime is 193893257. The next prime is 193893341. The reversal of 193893336 is 633398391.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 193893291 and 193893300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661606 + ... + 661898.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2193893336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193893336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327468960).

193893336 is an abundant number, since it is smaller than the sum of its proper divisors (461044584).

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

193893336 is a wasteful number, since it uses less digits than its factorization.

193893336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 193893336 is about 13924.5587362760. The cubic root of 193893336 is about 578.7899226239.

The spelling of 193893336 in words is "one hundred ninety-three million, eight hundred ninety-three thousand, three hundred thirty-six".