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4223232 = 28331347
BaseRepresentation
bin10000000111000100000000
321221120012000
4100013010000
52040120412
6230304000
750616426
oct20070400
97846160
104223232
112424a82
1214b8000
13b4b370
147bd116
155864dc
hex407100

4223232 has 144 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1271808.

The previous prime is 4223231. The next prime is 4223239. The reversal of 4223232 is 2323224.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 4 + 212 + 213 + 32 + 214 + 35 + 222 .

It is not an unprimeable number, because it can be changed into a prime (4223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89833 + ... + 89879.

Almost surely, 24223232 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 4223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

4223232 is an abundant number, since it is smaller than the sum of its proper divisors (9512448).

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

4223232 is a wasteful number, since it uses less digits than its factorization.

4223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 4223232 is about 2055.0503643463. The cubic root of 4223232 is about 161.6398032856.

Adding to 4223232 its reverse (2323224), we get a palindrome (6546456).

The spelling of 4223232 in words is "four million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 64 72 78 94 96 104 108 117 128 141 144 156 188 192 208 216 234 256 282 288 312 351 376 384 416 423 432 468 564 576 611 624 702 752 768 832 846 864 936 1128 1152 1222 1248 1269 1404 1504 1664 1692 1728 1833 1872 2256 2304 2444 2496 2538 2808 3008 3328 3384 3456 3666 3744 4512 4888 4992 5076 5499 5616 6016 6768 6912 7332 7488 9024 9776 9984 10152 10998 11232 12032 13536 14664 14976 16497 18048 19552 20304 21996 22464 27072 29328 29952 32994 36096 39104 40608 43992 44928 54144 58656 65988 78208 81216 87984 89856 108288 117312 131976 156416 162432 175968 234624 263952 324864 351936 469248 527904 703872 1055808 1407744 2111616 4223232