Search a number
-
+
6222024 = 2332103839
BaseRepresentation
bin10111101111000011001000
3102201010000100
4113233003020
53043101044
6341205400
7103613004
oct27570310
912633010
106222024
11356a776
122100860
13139b093
14b7d704
1582d869
hex5ef0c8

6222024 has 48 divisors (see below), whose sum is σ = 17035200. Its totient is φ = 2051424.

The previous prime is 6222011. The next prime is 6222049. The reversal of 6222024 is 4202226.

It is a happy number.

6222024 is a `hidden beast` number, since 622 + 20 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6221988 and 6222006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6997 + ... + 7835.

It is an arithmetic number, because the mean of its divisors is an integer number (354900).

Almost surely, 26222024 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 6222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517600).

6222024 is an abundant number, since it is smaller than the sum of its proper divisors (10813176).

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

6222024 is a wasteful number, since it uses less digits than its factorization.

6222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6222024 is about 2494.3985246949. The cubic root of 6222024 is about 183.9263252615.

The spelling of 6222024 in words is "six million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 839 927 1236 1678 1854 2472 2517 3356 3708 5034 6712 7416 7551 10068 15102 20136 30204 60408 86417 172834 259251 345668 518502 691336 777753 1037004 1555506 2074008 3111012 6222024