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23221231400 = 2352419487569
BaseRepresentation
bin10101101000000101…
…111101111100101000
32012221022211210000102
4111220011331330220
5340024113401100
614400115324532
71451305132043
oct255005757450
965838753012
1023221231400
119936863934
1246008b0748
132260b6b213
1411a4039c5a
1590d95ecd5
hex56817df28

23221231400 has 96 divisors (see below), whose sum is σ = 54324648000. Its totient is φ = 9231045120.

The previous prime is 23221231367. The next prime is 23221231403. The reversal of 23221231400 is 413212232.

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

It is not an unprimeable number, because it can be changed into a prime (23221231403) 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, 40810316 + ... + 40810884.

It is an arithmetic number, because the mean of its divisors is an integer number (565881750).

Almost surely, 223221231400 is an apocalyptic number.

23221231400 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 23221231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27162324000).

23221231400 is an abundant number, since it is smaller than the sum of its proper divisors (31103416600).

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

23221231400 is a wasteful number, since it uses less digits than its factorization.

23221231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23221231400 its reverse (413212232), we get a palindrome (23634443632).

The spelling of 23221231400 in words is "twenty-three billion, two hundred twenty-one million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 487 569 838 974 1138 1676 1948 2095 2276 2435 2845 3352 3896 4190 4552 4870 5690 8380 9740 10475 11380 12175 14225 16760 19480 20950 22760 24350 28450 41900 48700 56900 83800 97400 113800 204053 238411 277103 408106 476822 554206 816212 953644 1020265 1108412 1192055 1385515 1632424 1907288 2040530 2216824 2384110 2771030 4081060 4768220 5101325 5542060 5960275 6927575 8162120 9536440 10202650 11084120 11920550 13855150 20405300 23841100 27710300 40810600 47682200 55420600 116106157 232212314 464424628 580530785 928849256 1161061570 2322123140 2902653925 4644246280 5805307850 11610615700 23221231400