Search a number
-
+
4224372 = 2232961199
BaseRepresentation
bin10000000111010101110100
321221121202020
4100013111310
52040134442
6230313140
750622645
oct20072564
97847666
104224372
112425919
1214b87b0
13b4ba39
147bd6cc
155869ec
hex407574

4224372 has 48 divisors (see below), whose sum is σ = 10416000. Its totient is φ = 1330560.

The previous prime is 4224371. The next prime is 4224373. The reversal of 4224372 is 2734224.

It is an interprime number because it is at equal distance from previous prime (4224371) and next prime (4224373).

It is a d-powerful number, because it can be written as 43 + 25 + 211 + 411 + 39 + 72 + 213 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21129 + ... + 21327.

It is an arithmetic number, because the mean of its divisors is an integer number (217000).

Almost surely, 24224372 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 4224372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208000).

4224372 is an abundant number, since it is smaller than the sum of its proper divisors (6191628).

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

4224372 is a wasteful number, since it uses less digits than its factorization.

4224372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 4224372 is about 2055.3277110962. The cubic root of 4224372 is about 161.6543460811.

Adding to 4224372 its reverse (2734224), we get a palindrome (6958596).

The spelling of 4224372 in words is "four million, two hundred twenty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 199 244 348 366 398 597 732 796 1194 1769 2388 3538 5307 5771 7076 10614 11542 12139 17313 21228 23084 24278 34626 36417 48556 69252 72834 145668 352031 704062 1056093 1408124 2112186 4224372