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23215441300 = 225210912291733
BaseRepresentation
bin10101100111101111…
…111000010110010100
32012220220221121111021
4111213233320112110
5340021123110200
614355351250524
71451204665222
oct254757702624
965826847437
1023215441300
119933569727
1245ba979a44
13225c8c191c
1411a336db12
1590d1b941a
hex567bf8594

23215441300 has 72 divisors (see below), whose sum is σ = 50910413400. Its totient is φ = 9188190720.

The previous prime is 23215441267. The next prime is 23215441303. The reversal of 23215441300 is 314451232.

It can be written as a sum of positive squares in 12 ways, for example, as 364886404 + 22850554896 = 19102^2 + 151164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215441303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13395234 + ... + 13396966.

It is an arithmetic number, because the mean of its divisors is an integer number (707089075).

Almost surely, 223215441300 is an apocalyptic number.

23215441300 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 23215441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455206700).

23215441300 is an abundant number, since it is smaller than the sum of its proper divisors (27694972100).

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

23215441300 is a wasteful number, since it uses less digits than its factorization.

23215441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 23215441300 its reverse (314451232), we get a palindrome (23529892532).

The spelling of 23215441300 in words is "twenty-three billion, two hundred fifteen million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 1229 1733 2180 2458 2725 3466 4916 5450 6145 6932 8665 10900 12290 17330 24580 30725 34660 43325 61450 86650 122900 133961 173300 188897 267922 377794 535844 669805 755588 944485 1339610 1888970 2129857 2679220 3349025 3777940 4259714 4722425 6698050 8519428 9444850 10649285 13396100 18889700 21298570 42597140 53246425 106492850 212985700 232154413 464308826 928617652 1160772065 2321544130 4643088260 5803860325 11607720650 23215441300