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2145226567 = 1131101199313
BaseRepresentation
bin111111111011101…
…1000111101000111
312112111121210121211
41333313120331013
513343134222232
6552511352251
7104106060601
oct17767307507
95474553554
102145226567
11a00a19520
124ba522687
13282594643
14164ca0171
15c84eca47
hex7fdd8f47

2145226567 has 32 divisors (see below), whose sum is σ = 2459750400. Its totient is φ = 1853280000.

The previous prime is 2145226561. The next prime is 2145226571. The reversal of 2145226567 is 7656225412.

It is not a de Polignac number, because 2145226567 - 27 = 2145226439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145226561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6853603 + ... + 6853915.

It is an arithmetic number, because the mean of its divisors is an integer number (76867200).

Almost surely, 22145226567 is an apocalyptic number.

2145226567 is a deficient number, since it is larger than the sum of its proper divisors (314523833).

2145226567 is a wasteful number, since it uses less digits than its factorization.

2145226567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its digits is 201600, while the sum is 40.

The square root of 2145226567 is about 46316.5906236631. The cubic root of 2145226567 is about 1289.7069957294.

The spelling of 2145226567 in words is "two billion, one hundred forty-five million, two hundred twenty-six thousand, five hundred sixty-seven".

Divisors: 1 11 31 101 199 313 341 1111 2189 3131 3443 6169 9703 20099 31613 34441 62287 67859 106733 221089 347743 623069 685157 980003 1930897 6290987 6853759 10780033 21239867 69200857 195020597 2145226567