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22225456513 = 132131511577
BaseRepresentation
bin10100101100101111…
…011000110110000001
32010100221010011200001
4110230233120312001
5331004204102023
614113224400001
71414524156211
oct245457306601
963327104601
1022225456513
119475766487
124383316001
132132780200
14110baac241
158a13156ad
hex52cbd8d81

22225456513 has 6 divisors (see below), whose sum is σ = 24066618774. Its totient is φ = 20515805856.

The previous prime is 22225456453. The next prime is 22225456571. The reversal of 22225456513 is 31565452222.

It can be written as a sum of positive squares in 3 ways, for example, as 181521729 + 22043934784 = 13473^2 + 148472^2 .

It is a de Polignac number, because none of the positive numbers 2k-22225456513 is a prime.

It is a super-2 number, since 2×222254565132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22225456613) 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 5 ways as a sum of consecutive naturals, for example, 65755620 + ... + 65755957.

It is an arithmetic number, because the mean of its divisors is an integer number (4011103129).

Almost surely, 222225456513 is an apocalyptic number.

It is an amenable number.

22225456513 is a deficient number, since it is larger than the sum of its proper divisors (1841162261).

22225456513 is a wasteful number, since it uses less digits than its factorization.

22225456513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131511603 (or 131511590 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The spelling of 22225456513 in words is "twenty-two billion, two hundred twenty-five million, four hundred fifty-six thousand, five hundred thirteen".

Divisors: 1 13 169 131511577 1709650501 22225456513