Search a number
-
+
2114310 = 2351143149
BaseRepresentation
bin1000000100001100000110
310222102021210
420010030012
51020124220
6113152250
723654112
oct10041406
93872253
102114310
111214570
1285b686
13590493
143d0742
152bb6e0
hex204306

2114310 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 497280.

The previous prime is 2114297. The next prime is 2114317. The reversal of 2114310 is 134112.

It is a happy number.

It is a super-2 number, since 2×21143102 = 8940613552200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14116 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22114310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2114310 is an abundant number, since it is smaller than the sum of its proper divisors (3588090).

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

2114310 is a wasteful number, since it uses less digits than its factorization.

2114310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2114310 is about 1454.0667109868. The cubic root of 2114310 is about 128.3481326986.

Adding to 2114310 its reverse (134112), we get a palindrome (2248422).

The spelling of 2114310 in words is "two million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 149 165 215 258 298 330 430 447 473 645 745 894 946 1290 1419 1490 1639 2235 2365 2838 3278 4470 4730 4917 6407 7095 8195 9834 12814 14190 16390 19221 24585 32035 38442 49170 64070 70477 96105 140954 192210 211431 352385 422862 704770 1057155 2114310