Search a number
-
+
225342272493 = 321337277187921
BaseRepresentation
bin1101000111011101110…
…0100011001111101101
3210112122111020111220100
43101313130203033231
512143000110204433
6251304254541313
722165122466242
oct3216734431755
9715574214810
10225342272493
1187626924658
123780a807839
13183327344a0
14ac99ac35c9
155cdd205b13
hex34777233ed

225342272493 has 48 divisors (see below), whose sum is σ = 361307857456. Its totient is φ = 134436464640.

The previous prime is 225342272471. The next prime is 225342272497. The reversal of 225342272493 is 394272243522.

225342272493 is a `hidden beast` number, since 2 + 2 + 53 + 42 + 2 + 72 + 493 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25120031049 + 200222241444 = 158493^2 + 447462^2 .

It is not a de Polignac number, because 225342272493 - 29 = 225342271981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342272497) 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, 1105173 + ... + 1293093.

Almost surely, 2225342272493 is an apocalyptic number.

It is an amenable number.

225342272493 is a deficient number, since it is larger than the sum of its proper divisors (135965584963).

225342272493 is a wasteful number, since it uses less digits than its factorization.

225342272493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188254 (or 188251 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 225342272493 in words is "two hundred twenty-five billion, three hundred forty-two million, two hundred seventy-two thousand, four hundred ninety-three".

Divisors: 1 3 9 13 37 39 111 117 277 333 481 831 1443 2493 3601 4329 10249 10803 30747 32409 92241 133237 187921 399711 563763 1199133 1691289 2442973 6953077 7328919 20859231 21986757 52054117 62577693 90390001 156162351 271170003 468487053 676703521 813510009 1926002329 2030110563 5778006987 6090331689 17334020961 25038030277 75114090831 225342272493