Search a number
-
+
622368 = 25322161
BaseRepresentation
bin10010111111100100000
31011121201200
42113330200
5124403433
621201200
75201325
oct2277440
91147650
10622368
1139565a
12260200
1318a386
14122b4c
15c4613
hex97f20

622368 has 36 divisors (see below), whose sum is σ = 1770678. Its totient is φ = 207360.

The previous prime is 622367. The next prime is 622397. The reversal of 622368 is 863226.

622368 is a `hidden beast` number, since 622 + 36 + 8 = 666.

622368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 121104 = 708^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (622367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 793 + ... + 1368.

2622368 is an apocalyptic number.

It is an amenable number.

622368 is an abundant number, since it is smaller than the sum of its proper divisors (1148310).

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

622368 is a wasteful number, since it uses less digits than its factorization.

622368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2166 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 622368 is about 788.9030358669. The cubic root of 622368 is about 85.3786109542.

It can be divided in two parts, 622 and 368, that added together give a triangular number (990 = T44).

The spelling of 622368 in words is "six hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2161 4322 6483 8644 12966 17288 19449 25932 34576 38898 51864 69152 77796 103728 155592 207456 311184 622368