Search a number
-
+
919223040 = 28351943293
BaseRepresentation
bin110110110010100…
…011101100000000
32101001200100221210
4312302203230000
53340310114130
6231114050120
731531160361
oct6662435400
92331610853
10919223040
1143197196a
12217a19940
13118597278
148a121b68
1555a775b0
hex36ca3b00

919223040 has 288 divisors, whose sum is σ = 3172942080. Its totient is φ = 226050048.

The previous prime is 919223029. The next prime is 919223087. The reversal of 919223040 is 40322919.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 919222989 and 919223007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3137134 + ... + 3137426.

It is an arithmetic number, because the mean of its divisors is an integer number (11017160).

Almost surely, 2919223040 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 919223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586471040).

919223040 is an abundant number, since it is smaller than the sum of its proper divisors (2253719040).

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

919223040 is a wasteful number, since it uses less digits than its factorization.

919223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 919223040 is about 30318.6912646308. The cubic root of 919223040 is about 972.3149583063.

Adding to 919223040 its reverse (40322919), we get a palindrome (959545959).

The spelling of 919223040 in words is "nine hundred nineteen million, two hundred twenty-three thousand, forty".