Search a number
-
+
2325116416 = 297757857
BaseRepresentation
bin1000101010010110…
…0111011000000000
320000001010011002211
42022211213120000
514230212211131
61022415151504
7111422110030
oct21245473000
96001104084
102325116416
11a93516417
1254a815594
132b092a33c
14180b298c0
15d91d35b1
hex8a967600

2325116416 has 80 divisors (see below), whose sum is σ = 5322578976. Its totient is φ = 994000896.

The previous prime is 2325116411. The next prime is 2325116419. The reversal of 2325116416 is 6146115232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325116411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2712660 + ... + 2713516.

Almost surely, 22325116416 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 2325116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661289488).

2325116416 is an abundant number, since it is smaller than the sum of its proper divisors (2997462560).

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

2325116416 is an frugal number, since it uses more digits than its factorization.

2325116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1623 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 2325116416 is about 48219.4609675388. The cubic root of 2325116416 is about 1324.7936388720.

The spelling of 2325116416 in words is "two billion, three hundred twenty-five million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 757 857 896 1514 1714 1792 3028 3428 3584 5299 5999 6056 6856 10598 11998 12112 13712 21196 23996 24224 27424 42392 47992 48448 54848 84784 95984 96896 109696 169568 191968 193792 219392 339136 383936 387584 438784 648749 678272 767872 1297498 1356544 1535744 2594996 2713088 3071488 4541243 5189992 9082486 10379984 18164972 20759968 36329944 41519936 72659888 83039872 145319776 166079744 290639552 332159488 581279104 1162558208 2325116416