Search a number
-
+
18221405000 = 2354232832
BaseRepresentation
bin10000111110000101…
…001001001101001000
31202000212210021120212
4100332011021031020
5244304134430000
612212031540252
71213354246511
oct207605111510
952025707525
1018221405000
1178005652a7
12364638a688
131945070666
14c4bdc1a08
15719a3ec35
hex43e149348

18221405000 has 180 divisors, whose sum is σ = 45173848335. Its totient is φ = 6887672000.

The previous prime is 18221404973. The next prime is 18221405003. The reversal of 18221405000 is 50412281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4212788836 + 14008616164 = 64906^2 + 118358^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95450.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (18221405003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 219534959 + ... + 219535041.

Almost surely, 218221405000 is an apocalyptic number.

18221405000 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 18221405000

18221405000 is an abundant number, since it is smaller than the sum of its proper divisors (26952443335).

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

18221405000 is an frugal number, since it uses more digits than its factorization.

18221405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 18221405000 its reverse (50412281), we get a palindrome (18271817281).

The spelling of 18221405000 in words is "eighteen billion, two hundred twenty-one million, four hundred five thousand".