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22514224131 = 337119122879
BaseRepresentation
bin10100111101111100…
…111100110000000011
32011010001111002101000
4110331330330300003
5332102120133011
614202021543043
71424631514260
oct247574746003
964101432330
1022514224131
119603768903
124443b74a83
13217a547519
14113819a267
158bb856356
hex53df3cc03

22514224131 has 16 divisors (see below), whose sum is σ = 38119321600. Its totient is φ = 12865270824.

The previous prime is 22514224039. The next prime is 22514224189. The reversal of 22514224131 is 13142241522.

22514224131 is a `hidden beast` number, since 225 + 1 + 4 + 22 + 413 + 1 = 666.

It is not a de Polignac number, because 22514224131 - 210 = 22514223107 is a prime.

It is a super-2 number, since 2×225142241312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22514224095 and 22514224104.

It is not an unprimeable number, because it can be changed into a prime (22514224631) 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 15 ways as a sum of consecutive naturals, for example, 59561251 + ... + 59561628.

It is an arithmetic number, because the mean of its divisors is an integer number (2382457600).

Almost surely, 222514224131 is an apocalyptic number.

22514224131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22514224131 is a deficient number, since it is larger than the sum of its proper divisors (15605097469).

22514224131 is a wasteful number, since it uses less digits than its factorization.

22514224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119122895 (or 119122889 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 22514224131 its reverse (13142241522), we get a palindrome (35656465653).

The spelling of 22514224131 in words is "twenty-two billion, five hundred fourteen million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 119122879 357368637 833860153 1072105911 2501580459 3216317733 7504741377 22514224131