Search a number
-
+
22142132512533 = 32112913711562493
BaseRepresentation
bin1010000100011010111011…
…11100010110011100010101
32220101202201021201002121200
411002031131330112130111
510400234041410400113
6115031542200103113
74443500453654655
oct502153574263425
986352637632550
1022142132512533
117067475617210
122597363464a99
13c47cc016c717
1456798364a365
15285e7adc0873
hex14235df16715

22142132512533 has 48 divisors (see below), whose sum is σ = 36096454967040. Its totient is φ = 12955765737600.

The previous prime is 22142132512529. The next prime is 22142132512603. The reversal of 22142132512533 is 33521523124122.

22142132512533 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 132 + 512 + 5 + 3 + 3 = 666.

It is not a de Polignac number, because 22142132512533 - 22 = 22142132512529 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142132512933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39083035 + ... + 39645527.

It is an arithmetic number, because the mean of its divisors is an integer number (752009478480).

Almost surely, 222142132512533 is an apocalyptic number.

It is an amenable number.

22142132512533 is a deficient number, since it is larger than the sum of its proper divisors (13954322454507).

22142132512533 is a wasteful number, since it uses less digits than its factorization.

22142132512533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576250 (or 576247 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 22142132512533 its reverse (33521523124122), we get a palindrome (55663655636655).

The spelling of 22142132512533 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty-two million, five hundred twelve thousand, five hundred thirty-three".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 13711 41133 123399 150821 397619 452463 562493 1192857 1357389 1687479 3578571 4373809 5062437 6187423 13121427 16312297 18562269 39364281 48936891 55686807 146810673 179435267 538305801 1614917403 7712341523 23137024569 69411073707 84835756753 223657904167 254507270259 670973712501 763521810777 2012921137503 2460236945837 7380710837511 22142132512533