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2122540441 = 72389167887
BaseRepresentation
bin111111010000011…
…0110010110011001
312110220221020002221
41332200312112121
513321332243231
6550341224041
7103412203360
oct17640662631
95426836087
102122540441
1199a13405a
124b2a02021
1327a9806b8
14161c767d7
15c651ad11
hex7e836599

2122540441 has 32 divisors (see below), whose sum is σ = 2577899520. Its totient is φ = 1708434816.

The previous prime is 2122540429. The next prime is 2122540447. The reversal of 2122540441 is 1440452212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122540441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122540447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392500 + ... + 2393386.

It is an arithmetic number, because the mean of its divisors is an integer number (80559360).

Almost surely, 22122540441 is an apocalyptic number.

It is an amenable number.

2122540441 is a deficient number, since it is larger than the sum of its proper divisors (455359079).

2122540441 is a wasteful number, since it uses less digits than its factorization.

2122540441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2122540441 is about 46071.0368995533. The cubic root of 2122540441 is about 1285.1445866770.

Adding to 2122540441 its reverse (1440452212), we get a palindrome (3562992653).

The spelling of 2122540441 in words is "two billion, one hundred twenty-two million, five hundred forty thousand, four hundred forty-one".

Divisors: 1 7 23 89 161 167 623 887 1169 2047 3841 6209 14329 14863 20401 26887 78943 104041 142807 148129 341849 552601 1036903 1815689 2392943 3406967 12709823 13183481 23848769 92284367 303220063 2122540441