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193944268 = 22741241701
BaseRepresentation
bin10111000111101…
…01101011001100
3111111221101112001
423203311223030
5344122204033
631124522044
74543333120
oct1343655314
9444841461
10193944268
119a527221
1254b50324
1331246b2b
141ba87580
151205ee7d
hexb8f5acc

193944268 has 48 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 80640000.

The previous prime is 193944263. The next prime is 193944293. The reversal of 193944268 is 862449391.

It is a super-2 number, since 2×1939442682 = 75228758180111648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193944263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276318 + ... + 277018.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2193944268 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 193944268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

193944268 is an abundant number, since it is smaller than the sum of its proper divisors (205622900).

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

193944268 is a wasteful number, since it uses less digits than its factorization.

193944268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 193944268 is about 13926.3874712719. The cubic root of 193944268 is about 578.8405971308.

The spelling of 193944268 in words is "one hundred ninety-three million, nine hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 241 287 482 574 701 964 1148 1402 1687 2804 3374 4907 6748 9814 9881 19628 19762 28741 39524 57482 69167 114964 138334 168941 201187 276668 337882 402374 675764 804748 1182587 2365174 4730348 6926581 13853162 27706324 48486067 96972134 193944268