Search a number
-
+
221947332805 = 51123871920123
BaseRepresentation
bin1100111010110100010…
…1111000100011000101
3210012212220001201011101
43032231011320203011
512114022004122210
6245543341340101
722015030126012
oct3165505704305
9705786051141
10221947332805
1186144535180
1237021867631
1317c11290a33
14aa56c72709
155b9014ca3a
hex33ad1788c5

221947332805 has 32 divisors (see below), whose sum is σ = 303231651840. Its totient is φ = 154372764480.

The previous prime is 221947332799. The next prime is 221947332823. The reversal of 221947332805 is 508233749122.

221947332805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221947332805 - 221 = 221945235653 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11019474 + ... + 11039596.

It is an arithmetic number, because the mean of its divisors is an integer number (9475989120).

Almost surely, 2221947332805 is an apocalyptic number.

It is an amenable number.

221947332805 is a deficient number, since it is larger than the sum of its proper divisors (81284319035).

221947332805 is a wasteful number, since it uses less digits than its factorization.

221947332805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28881.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 221947332805 in words is "two hundred twenty-one billion, nine hundred forty-seven million, three hundred thirty-two thousand, eight hundred five".

Divisors: 1 5 11 23 55 115 253 1265 8719 20123 43595 95909 100615 200537 221353 462829 479545 1002685 1106765 2205907 2314145 5091119 11029535 25455595 175452437 877262185 1929976807 4035406051 9649884035 20177030255 44389466561 221947332805