Search a number
-
+
905223424 = 2871074721
BaseRepresentation
bin110101111101001…
…001110100000000
32100002100010002111
4311331021310000
53323214122144
6225454025104
731301162230
oct6575116400
92302303074
10905223424
11424a7a836
122131a8194
13115705081
1488319cc0
155470e534
hex35f49d00

905223424 has 72 divisors (see below), whose sum is σ = 2084781888. Its totient is φ = 384245760.

The previous prime is 905223421. The next prime is 905223427. The reversal of 905223424 is 424322509.

It is an interprime number because it is at equal distance from previous prime (905223421) and next prime (905223427).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905223421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189384 + ... + 194104.

It is an arithmetic number, because the mean of its divisors is an integer number (28955304).

Almost surely, 2905223424 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 905223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042390944).

905223424 is an abundant number, since it is smaller than the sum of its proper divisors (1179558464).

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

905223424 is a wasteful number, since it uses less digits than its factorization.

905223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 905223424 is about 30086.9311163502. The cubic root of 905223424 is about 967.3536198852.

The spelling of 905223424 in words is "nine hundred five million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 256 428 448 749 856 896 1498 1712 1792 2996 3424 4721 5992 6848 9442 11984 13696 18884 23968 27392 33047 37768 47936 66094 75536 95872 132188 151072 191744 264376 302144 505147 528752 604288 1010294 1057504 1208576 2020588 2115008 3536029 4041176 4230016 7072058 8082352 8460032 14144116 16164704 28288232 32329408 56576464 64658816 113152928 129317632 226305856 452611712 905223424