Search a number
-
+
22414334211153 = 331967652129243
BaseRepresentation
bin1010001100010101111100…
…11011011011010001010001
32221100210022111020002201000
411012022332123123101101
510414214024024224103
6115401000351132213
74502245045144023
oct506127633332121
987323274202630
1022414334211153
11716195835a215
12262006b214069
13c6787cab0a91
14576c06904013
1528d0acdaaaa3
hex1462be6db451

22414334211153 has 32 divisors (see below), whose sum is σ = 35475830873600. Its totient is φ = 13945131710928.

The previous prime is 22414334211131. The next prime is 22414334211233. The reversal of 22414334211153 is 35111243341422.

22414334211153 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 433 + 4 + 211 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 22414334211153 - 210 = 22414334210129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22414334211103) 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 31 ways as a sum of consecutive naturals, for example, 326030251 + ... + 326098992.

It is an arithmetic number, because the mean of its divisors is an integer number (1108619714800).

Almost surely, 222414334211153 is an apocalyptic number.

It is an amenable number.

22414334211153 is a deficient number, since it is larger than the sum of its proper divisors (13061496662447).

22414334211153 is a wasteful number, since it uses less digits than its factorization.

22414334211153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652129338 (or 652129332 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 22414334211153 its reverse (35111243341422), we get a palindrome (57525577552575).

The spelling of 22414334211153 in words is "twenty-two trillion, four hundred fourteen billion, three hundred thirty-four million, two hundred eleven thousand, one hundred fifty-three".

Divisors: 1 3 9 19 27 57 67 171 201 513 603 1273 1809 3819 11457 34371 652129243 1956387729 5869163187 12390455617 17607489561 37171366851 43692659281 111514100553 131077977843 334542301659 393233933529 830160526339 1179701800587 2490481579017 7471444737051 22414334211153