Search a number
-
+
95226768 = 2432713343
BaseRepresentation
bin1011010110100…
…00101110010000
320122012000120100
411223100232100
5143334224033
613241012400
72234262030
oct553205620
9218160510
1095226768
114983130a
1227a84100
1316962000
14c90b8c0
158560513
hex5ad0b90

95226768 has 240 divisors, whose sum is σ = 337617280. Its totient is φ = 24530688.

The previous prime is 95226763. The next prime is 95226787. The reversal of 95226768 is 86762259.

95226768 is a `hidden beast` number, since 9 + 522 + 67 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (95226763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214555 + ... + 2214597.

Almost surely, 295226768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95226768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168808640).

95226768 is an abundant number, since it is smaller than the sum of its proper divisors (242390512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95226768 is a wasteful number, since it uses less digits than its factorization.

95226768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 95226768 is about 9758.4203639728. The cubic root of 95226768 is about 456.6530347989.

It can be divided in two parts, 9522 and 6768, that added together give a triangular number (16290 = T180).

The spelling of 95226768 in words is "ninety-five million, two hundred twenty-six thousand, seven hundred sixty-eight".