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2325134320 = 245791672203
BaseRepresentation
bin1000101010010110…
…1011101111110000
320000001011001122221
42022211223233300
514230213244240
61022415410424
7111422213155
oct21245535760
96001131587
102325134320
11a93528913
1254a823a14
132b0935532
14180b3222c
15d91d8a4a
hex8a96bbf0

2325134320 has 80 divisors (see below), whose sum is σ = 5509647360. Its totient is φ = 912367872.

The previous prime is 2325134303. The next prime is 2325134347. The reversal of 2325134320 is 234315232.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1054339 + ... + 1056541.

It is an arithmetic number, because the mean of its divisors is an integer number (68870592).

Almost surely, 22325134320 is an apocalyptic number.

2325134320 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 2325134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754823680).

2325134320 is an abundant number, since it is smaller than the sum of its proper divisors (3184513040).

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

2325134320 is a wasteful number, since it uses less digits than its factorization.

2325134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2325134320 is about 48219.6466183650. The cubic root of 2325134320 is about 1324.7970392815.

Adding to 2325134320 its reverse (234315232), we get a palindrome (2559449552).

The spelling of 2325134320 in words is "two billion, three hundred twenty-five million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 167 316 334 395 632 668 790 835 1264 1336 1580 1670 2203 2672 3160 3340 4406 6320 6680 8812 11015 13193 13360 17624 22030 26386 35248 44060 52772 65965 88120 105544 131930 174037 176240 211088 263860 348074 367901 527720 696148 735802 870185 1055440 1392296 1471604 1740370 1839505 2784592 2943208 3480740 3679010 5886416 6961480 7358020 13922960 14716040 29064179 29432080 58128358 116256716 145320895 232513432 290641790 465026864 581283580 1162567160 2325134320