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193313148 = 223731611217
BaseRepresentation
bin10111000010110…
…11100101111100
3111110202022210020
423201123211330
5343442010043
631103212140
74535064120
oct1341334574
9443668706
10193313148
119a136036
12548a7050
13310857a2
141b961580
1511e87e83
hexb85b97c

193313148 has 96 divisors (see below), whose sum is σ = 541298688. Its totient is φ = 52531200.

The previous prime is 193313129. The next prime is 193313173. The reversal of 193313148 is 841313391.

193313148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158236 + ... + 159452.

It is an arithmetic number, because the mean of its divisors is an integer number (5638528).

Almost surely, 2193313148 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 193313148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270649344).

193313148 is an abundant number, since it is smaller than the sum of its proper divisors (347985540).

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

193313148 is a wasteful number, since it uses less digits than its factorization.

193313148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 193313148 is about 13903.7098646368. The cubic root of 193313148 is about 578.2120405125.

The spelling of 193313148 in words is "one hundred ninety-three million, three hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 61 62 84 93 122 124 183 186 217 244 366 372 427 434 651 732 854 868 1217 1281 1302 1708 1891 2434 2562 2604 3651 3782 4868 5124 5673 7302 7564 8519 11346 13237 14604 17038 22692 25557 26474 34076 37727 39711 51114 52948 74237 75454 79422 102228 113181 148474 150908 158844 222711 226362 264089 296948 445422 452724 519659 528178 792267 890844 1039318 1056356 1558977 1584534 2078636 2301347 3117954 3169068 4602694 6235908 6904041 9205388 13808082 16109429 27616164 32218858 48328287 64437716 96656574 193313148