Search a number
-
+
193001210292 = 2231129227222107
BaseRepresentation
bin1011001110111111000…
…1001100000110110100
3200110011120211022220210
42303233301030012310
511130231302212132
6224355153425420
716641515135202
oct2635761140664
9613146738823
10193001210292
1174940173980
12314a386b270
131527a34b0a7
1494ac79c072
155048ce8bcc
hex2cefc4c1b4

193001210292 has 96 divisors (see below), whose sum is σ = 510457489920. Its totient is φ = 56219470720.

The previous prime is 193001210267. The next prime is 193001210309. The reversal of 193001210292 is 292012100391.

193001210292 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, 757903 + ... + 980009.

It is an arithmetic number, because the mean of its divisors is an integer number (5317265520).

Almost surely, 2193001210292 is an apocalyptic number.

193001210292 is a gapful number since it is divisible by the number (12) 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 193001210292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255228744960).

193001210292 is an abundant number, since it is smaller than the sum of its proper divisors (317456279628).

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

193001210292 is a wasteful number, since it uses less digits than its factorization.

193001210292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222381 (or 222379 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 193001210292 in words is "one hundred ninety-three billion, one million, two hundred ten thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 227 319 348 454 638 681 908 957 1276 1362 1914 2497 2724 3828 4994 6583 7491 9988 13166 14982 19749 26332 29964 39498 72413 78996 144826 217239 222107 289652 434478 444214 666321 868956 888428 1332642 2443177 2665284 4886354 6441103 7329531 9772708 12882206 14659062 19323309 25764412 29318124 38646618 50418289 70852133 77293236 100836578 141704266 151254867 201673156 212556399 283408532 302509734 425112798 554601179 605019468 850225596 1109202358 1462130381 1663803537 2218404716 2924260762 3327607074 4386391143 5848521524 6655214148 8772782286 16083434191 17545564572 32166868382 48250302573 64333736764 96500605146 193001210292