Search a number
-
+
220014410004 = 2234679056821
BaseRepresentation
bin1100110011100111100…
…0010111100100010100
3210000220011221001120000
43030321320113210110
512101042142110004
6245023452211300
721616106425404
oct3147170274424
9700804831500
10220014410004
1185342442714
1236782469b30
13179939a0a2c
14a912278804
155aca5d9c39
hex3339e17914

220014410004 has 30 divisors (see below), whose sum is σ = 575161128234. Its totient is φ = 73338136560.

The previous prime is 220014409981. The next prime is 220014410009. The reversal of 220014410004 is 400014410022.

220014410004 is a `hidden beast` number, since 220 + 0 + 1 + 441 + 0 + 0 + 0 + 4 = 666.

220014410004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175745408400 + 44269001604 = 419220^2 + 210402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220014410009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 339528087 + ... + 339528734.

Almost surely, 2220014410004 is an apocalyptic number.

It is an amenable number.

220014410004 is an abundant number, since it is smaller than the sum of its proper divisors (355146718230).

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

220014410004 is a wasteful number, since it uses less digits than its factorization.

220014410004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679056837 (or 679056826 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220014410004 its sum of digits (18), we get a palindrome (220014410022).

Adding to 220014410004 its reverse (400014410022), we get a palindrome (620028820026).

The spelling of 220014410004 in words is "two hundred twenty billion, fourteen million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 679056821 1358113642 2037170463 2716227284 4074340926 6111511389 8148681852 12223022778 18334534167 24446045556 36669068334 55003602501 73338136668 110007205002 220014410004