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4229232 = 243741307
BaseRepresentation
bin10000001000100001110000
321221212102020
4100020201300
52040313412
6230351440
750643060
oct20104160
97855366
104229232
112429537
1214bb580
13b51007
147c13a0
1558818c
hex408870

4229232 has 80 divisors (see below), whose sum is σ = 12832512. Its totient is φ = 1175040.

The previous prime is 4229231. The next prime is 4229249. The reversal of 4229232 is 2329224.

4229232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 4 + 211 + 215 + 92 + 221 + 33 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229231) 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, 13623 + ... + 13929.

Almost surely, 24229232 is an apocalyptic number.

4229232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416256).

4229232 is an abundant number, since it is smaller than the sum of its proper divisors (8603280).

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

4229232 is a wasteful number, since it uses less digits than its factorization.

4229232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4229232 is about 2056.5096644558. The cubic root of 4229232 is about 161.7163149789.

It can be divided in two parts, 42292 and 32, that added together give a palindrome (42324).

The spelling of 4229232 in words is "four million, two hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 307 328 336 492 574 614 656 861 921 984 1148 1228 1722 1842 1968 2149 2296 2456 3444 3684 4298 4592 4912 6447 6888 7368 8596 12587 12894 13776 14736 17192 25174 25788 34384 37761 50348 51576 75522 88109 100696 103152 151044 176218 201392 264327 302088 352436 528654 604176 704872 1057308 1409744 2114616 4229232