Search a number
-
+
221300320221000 = 23325356359436291
BaseRepresentation
bin110010010100010101111110…
…111110011011011101001000
31002000120002210210222221002100
4302110111332332123131020
5213001241023434033000
62102355544050433400
764420264144010046
oct6224257676333510
91060502723887070
10221300320221000
1164570a36528329
12209a1599592860
1396636b8ac7a17
143c90dc7b85396
151a8b7e1000a00
hexc9457ef9b748

221300320221000 has 192 divisors, whose sum is σ = 748010068790400. Its totient is φ = 59012236368000.

The previous prime is 221300320220989. The next prime is 221300320221031. The reversal of 221300320221000 is 122023003122.

221300320221000 is a `hidden beast` number, since 2 + 2 + 130 + 0 + 320 + 2 + 210 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 507012855 + ... + 507449145.

It is an arithmetic number, because the mean of its divisors is an integer number (3895885774950).

Almost surely, 2221300320221000 is an apocalyptic number.

221300320221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221300320221000 is an abundant number, since it is smaller than the sum of its proper divisors (526709748569400).

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

221300320221000 is a wasteful number, since it uses less digits than its factorization.

221300320221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492677 (or 492660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221300320221000 its reverse (122023003122), we get a palindrome (221422343224122).

The spelling of 221300320221000 in words is "two hundred twenty-one trillion, three hundred billion, three hundred twenty million, two hundred twenty-one thousand".