[go: up one dir, main page]

Search a number
-
+
2002211431 = 111719717937
BaseRepresentation
bin111011101010111…
…0101001001100111
312011112111212201221
41313111311021213
513100031231211
6530402201211
7100421342053
oct16725651147
95145455657
102002211431
119382180a0
1247a653207
1325ba6cabc
1414dcb2c63
15bab9cc71
hex77575267

2002211431 has 32 divisors (see below), whose sum is σ = 2469035520. Its totient is φ = 1599897600.

The previous prime is 2002211401. The next prime is 2002211441. The reversal of 2002211431 is 1341122002.

It is a cyclic number.

It is not a de Polignac number, because 2002211431 - 25 = 2002211399 is a prime.

It is a super-2 number, since 2×20022114312 = 8017701228854135522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211401) 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 31 ways as a sum of consecutive naturals, for example, 248295 + ... + 256231.

It is an arithmetic number, because the mean of its divisors is an integer number (77157360).

Almost surely, 22002211431 is an apocalyptic number.

2002211431 is a deficient number, since it is larger than the sum of its proper divisors (466824089).

2002211431 is a wasteful number, since it uses less digits than its factorization.

2002211431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2002211431 is about 44746.0772694099. The cubic root of 2002211431 is about 1260.3852502569.

Adding to 2002211431 its reverse (1341122002), we get a palindrome (3343333433).

The spelling of 2002211431 in words is "two billion, two million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 11 17 19 71 187 209 323 781 1207 1349 3553 7937 13277 14839 22933 87307 134929 150803 252263 563527 1484219 1658833 2563651 6198797 9579959 10707013 28200161 105379549 117777143 182019221 2002211431