Base | Representation |
---|---|
bin | 1010100011110100111000… |
… | …01010011111111010000000 |
3 | 10001012221000021101200101100 |
4 | 11101322130022133322000 |
5 | 11020424021034400000 |
6 | 121215402244134400 |
7 | 4614451211323104 |
oct | 521723412377200 |
9 | 101187007350340 |
10 | 23221213200000 |
11 | 7443074526062 |
12 | 2730515397400 |
13 | cc599bc7414a |
14 | 5a3cac6c5904 |
15 | 2a4085061a00 |
hex | 151e9c29fe80 |
23221213200000 has 288 divisors, whose sum is σ = 83521492055820. Its totient is φ = 6192322560000.
The previous prime is 23221213199983. The next prime is 23221213200047. The reversal of 23221213200000 is 231212232.
23221213200000 is a `hidden beast` number, since 2 + 322 + 1 + 21 + 320 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 187433580096 + 23033779619904 = 432936^2 + 4799352^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374832 + ... + 6825168.
Almost surely, 223221213200000 is an apocalyptic number.
23221213200000 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 23221213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41760746027910).
23221213200000 is an abundant number, since it is smaller than the sum of its proper divisors (60300278855820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23221213200000 is an frugal number, since it uses more digits than its factorization.
23221213200000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6450382 (or 6450347 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 23221213200000 its reverse (231212232), we get a palindrome (23221444412232).
The spelling of 23221213200000 in words is "twenty-three trillion, two hundred twenty-one billion, two hundred thirteen million, two hundred thousand".
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