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2314444132 = 22711134211373
BaseRepresentation
bin1000100111110011…
…1001110101100100
312222022000221111001
42021330321311210
514214444203012
61021354323044
7111232310350
oct21174716544
95868027431
102314444132
11a88497150
12547129484
132ab661790
1417d54c460
15d82c6357
hex89f39d64

2314444132 has 96 divisors (see below), whose sum is σ = 5455021824. Its totient is φ = 829785600.

The previous prime is 2314444129. The next prime is 2314444157.

2314444132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2314444132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684998 + ... + 1686370.

It is an arithmetic number, because the mean of its divisors is an integer number (56823144).

Almost surely, 22314444132 is an apocalyptic number.

2314444132 is a gapful number since it is divisible by the number (22) 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 2314444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727510912).

2314444132 is an abundant number, since it is smaller than the sum of its proper divisors (3140577692).

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

2314444132 is a wasteful number, since it uses less digits than its factorization.

2314444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2314444132 is about 48108.6700294240. The cubic root of 2314444132 is about 1322.7635955293.

It can be divided in two parts, 23144 and 44132, that added together give a palindrome (67276).

The spelling of 2314444132 in words is "two billion, three hundred fourteen million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 421 572 842 1001 1373 1684 2002 2746 2947 4004 4631 5473 5492 5894 9262 9611 10946 11788 15103 17849 18524 19222 21892 30206 32417 35698 38311 38444 60203 60412 64834 71396 76622 105721 120406 124943 129668 153244 196339 211442 240812 249886 392678 421421 422884 499772 578033 785356 842842 1156066 1374373 1685684 2312132 2748746 4046231 5497492 6358363 7514429 8092462 12716726 15028858 16184924 25433452 30057716 44508541 52601003 82658719 89017082 105202006 165317438 178034164 210404012 330634876 578611033 1157222066 2314444132