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42331224 = 233131723347
BaseRepresentation
bin1010000101111…
…0110001011000
32221122122112010
42201132301120
541314044344
64111145520
71022544435
oct241366130
987578463
1042331224
1121993091
12122152a0
138a01980
14589cb8c
153ab28b9
hex285ec58

42331224 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 11692032.

The previous prime is 42331217. The next prime is 42331231. The reversal of 42331224 is 42213324.

It is an interprime number because it is at equal distance from previous prime (42331217) and next prime (42331231).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42331224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121819 + ... + 122165.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 242331224 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 42331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

42331224 is an abundant number, since it is smaller than the sum of its proper divisors (83951016).

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

42331224 is a wasteful number, since it uses less digits than its factorization.

42331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 42331224 is about 6506.2449999981. The cubic root of 42331224 is about 348.5140375305.

Adding to 42331224 its reverse (42213324), we get a palindrome (84544548).

The spelling of 42331224 in words is "forty-two million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 23 24 26 34 39 46 51 52 68 69 78 92 102 104 136 138 156 184 204 221 276 299 312 347 391 408 442 552 598 663 694 782 884 897 1041 1173 1196 1326 1388 1564 1768 1794 2082 2346 2392 2652 2776 3128 3588 4164 4511 4692 5083 5304 5899 7176 7981 8328 9022 9384 10166 11798 13533 15249 15962 17697 18044 20332 23596 23943 27066 30498 31924 35394 36088 40664 47192 47886 54132 60996 63848 70788 76687 95772 103753 108264 121992 135677 141576 153374 191544 207506 230061 271354 306748 311259 407031 415012 460122 542708 613496 622518 814062 830024 920244 1085416 1245036 1628124 1763801 1840488 2490072 3256248 3527602 5291403 7055204 10582806 14110408 21165612 42331224