Search a number
-
+
4222824 = 233251701
BaseRepresentation
bin10000000110111101101000
321221112121220
4100012331220
52040112244
6230302040
750615304
oct20067550
97845556
104222824
112424741
1214b7920
13b4b118
147bcd04
15586319
hex406f68

4222824 has 32 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1400000.

The previous prime is 4222811. The next prime is 4222837. The reversal of 4222824 is 4282224.

It is an interprime number because it is at equal distance from previous prime (4222811) and next prime (4222837).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 4222794 and 4222803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5674 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 24222824 is an apocalyptic number.

It is an amenable number.

4222824 is an abundant number, since it is smaller than the sum of its proper divisors (6391416).

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

4222824 is a wasteful number, since it uses less digits than its factorization.

4222824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 4222824 is about 2054.9510943086. The cubic root of 4222824 is about 161.6345978597.

The spelling of 4222824 in words is "four million, two hundred twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 251 502 701 753 1004 1402 1506 2008 2103 2804 3012 4206 5608 6024 8412 16824 175951 351902 527853 703804 1055706 1407608 2111412 4222824