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13222204400 = 245291935969
BaseRepresentation
bin11000101000001101…
…01101001111110000
31021010110220120121002
430110012231033300
5204034341020100
610024005421132
7645441611606
oct142406551760
937113816532
1013222204400
115675653959
12269010a7a8
1313294318b2
148d608b876
15525be52d5
hex3141ad3f0

13222204400 has 60 divisors (see below), whose sum is σ = 31801796400. Its totient is φ = 5282979840.

The previous prime is 13222204319. The next prime is 13222204487. The reversal of 13222204400 is 440222231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349616 + ... + 385584.

It is an arithmetic number, because the mean of its divisors is an integer number (530029940).

Almost surely, 213222204400 is an apocalyptic number.

13222204400 is a gapful number since it is divisible by the number (10) 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 13222204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900898200).

13222204400 is an abundant number, since it is smaller than the sum of its proper divisors (18579592000).

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

13222204400 is a wasteful number, since it uses less digits than its factorization.

13222204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36906 (or 36895 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13222204400 its reverse (440222231), we get a palindrome (13662426631).

The spelling of 13222204400 in words is "thirteen billion, two hundred twenty-two million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 919 1838 3676 4595 7352 9190 14704 18380 22975 35969 36760 45950 71938 73520 91900 143876 179845 183800 287752 359690 367600 575504 719380 899225 1438760 1798450 2877520 3596900 7193800 14387600 33055511 66111022 132222044 165277555 264444088 330555110 528888176 661110220 826387775 1322220440 1652775550 2644440880 3305551100 6611102200 13222204400