Search a number
-
+
312140224 = 26112915289
BaseRepresentation
bin10010100110101…
…110000111000000
3210202100100220001
4102212232013000
51114401441344
650550125344
710510101544
oct2246560700
9722310801
10312140224
11150216630
1288650854
134c88b876
142d653a24
151c60aed4
hex129ae1c0

312140224 has 56 divisors (see below), whose sum is σ = 699058800. Its totient is φ = 136980480.

The previous prime is 312140167. The next prime is 312140237. The reversal of 312140224 is 422041213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12772 + ... + 28060.

Almost surely, 2312140224 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 312140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349529400).

312140224 is an abundant number, since it is smaller than the sum of its proper divisors (386918576).

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

312140224 is a wasteful number, since it uses less digits than its factorization.

312140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 312140224 is about 17667.4905971391. The cubic root of 312140224 is about 678.3438821950.

Adding to 312140224 its reverse (422041213), we get a palindrome (734181437).

The spelling of 312140224 in words is "three hundred twelve million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10208 15289 20416 30578 61156 122312 168179 244624 336358 443381 489248 672716 886762 978496 1345432 1773524 2690864 3547048 4877191 5381728 7094096 9754382 10763456 14188192 19508764 28376384 39017528 78035056 156070112 312140224