Search a number
-
+
2315114320 = 2451491671163
BaseRepresentation
bin1000100111111101…
…1101011101010000
312222100021222210211
42021333131131100
514220132124240
61021420533504
7111241101301
oct21177353520
95870258724
102315114320
11a88904722
125473b1294
132ab83783c
1417d6847a8
15d83a9bea
hex89fdd750

2315114320 has 80 divisors (see below), whose sum is σ = 5455900800. Its totient is φ = 913536512.

The previous prime is 2315114287. The next prime is 2315114363. The reversal of 2315114320 is 234115132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2315114291 and 2315114300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990059 + ... + 1991221.

It is an arithmetic number, because the mean of its divisors is an integer number (68198760).

Almost surely, 22315114320 is an apocalyptic number.

2315114320 is a gapful number since it is divisible by the number (20) 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 2315114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727950400).

2315114320 is an abundant number, since it is smaller than the sum of its proper divisors (3140786480).

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

2315114320 is a wasteful number, since it uses less digits than its factorization.

2315114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2315114320 is about 48115.6348809823. The cubic root of 2315114320 is about 1322.8912596946.

Adding to 2315114320 its reverse (234115132), we get a palindrome (2549229452).

The spelling of 2315114320 in words is "two billion, three hundred fifteen million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 167 298 334 596 668 745 835 1163 1192 1336 1490 1670 2326 2384 2672 2980 3340 4652 5815 5960 6680 9304 11630 11920 13360 18608 23260 24883 46520 49766 93040 99532 124415 173287 194221 199064 248830 346574 388442 398128 497660 693148 776884 866435 971105 995320 1386296 1553768 1732870 1942210 1990640 2772592 3107536 3465740 3884420 6931480 7768840 13862960 15537680 28938929 57877858 115755716 144694645 231511432 289389290 463022864 578778580 1157557160 2315114320