Search a number
-
+
2114220040 = 235322916369
BaseRepresentation
bin111111000000100…
…0111000000001000
312110100021111122221
41332001013000020
513312220020130
6545443023424
7103251400552
oct17601070010
95410244587
102114220040
11995470899
124b006ab74
1327902949a
14160b0c4d2
15c592587a
hex7e047008

2114220040 has 32 divisors (see below), whose sum is σ = 4758759000. Its totient is φ = 845374464.

The previous prime is 2114220023. The next prime is 2114220047. The reversal of 2114220040 is 400224112.

It can be written as a sum of positive squares in 4 ways, for example, as 1316383524 + 797836516 = 36282^2 + 28246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2114219996 and 2114220023.

It is not an unprimeable number, because it can be changed into a prime (2114220047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120976 + ... + 137344.

Almost surely, 22114220040 is an apocalyptic number.

2114220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114220040 is an abundant number, since it is smaller than the sum of its proper divisors (2644538960).

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

2114220040 is a wasteful number, since it uses less digits than its factorization.

2114220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19609 (or 19605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2114220040 is about 45980.6485382710. The cubic root of 2114220040 is about 1283.4631234711.

Adding to 2114220040 its reverse (400224112), we get a palindrome (2514444152).

The spelling of 2114220040 in words is "two billion, one hundred fourteen million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3229 6458 12916 16145 16369 25832 32290 32738 64580 65476 81845 129160 130952 163690 327380 654760 52855501 105711002 211422004 264277505 422844008 528555010 1057110020 2114220040