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224433043340 = 2251122910131663
BaseRepresentation
bin1101000100000101000…
…0000111011110001100
3210110022010100212222112
43101001100013132030
512134114324341330
6251034135003152
722133442251342
oct3210120073614
9713263325875
10224433043340
11871aa669300
12375b62094b8
131821925907c
14ac11043992
155c884a4795
hex344140778c

224433043340 has 144 divisors (see below), whose sum is σ = 541237818240. Its totient is φ = 78015168000.

The previous prime is 224433043337. The next prime is 224433043391. The reversal of 224433043340 is 43340334422.

It is a junction number, because it is equal to n+sod(n) for n = 224433043297 and 224433043306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7072349 + ... + 7104011.

It is an arithmetic number, because the mean of its divisors is an integer number (3758595960).

Almost surely, 2224433043340 is an apocalyptic number.

224433043340 is a gapful number since it is divisible by the number (20) 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 224433043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270618909120).

224433043340 is an abundant number, since it is smaller than the sum of its proper divisors (316804774900).

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

224433043340 is a wasteful number, since it uses less digits than its factorization.

224433043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31824 (or 31811 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 224433043340 its reverse (43340334422), we get a palindrome (267773377762).

The spelling of 224433043340 in words is "two hundred twenty-four billion, four hundred thirty-three million, forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 121 145 202 220 242 290 319 404 484 505 580 605 638 1010 1111 1210 1276 1595 2020 2222 2420 2929 3190 3509 4444 5555 5858 6380 7018 11110 11716 12221 14036 14645 17545 22220 24442 29290 31663 32219 35090 48884 58580 61105 63326 64438 70180 122210 126652 128876 158315 161095 244420 316630 322190 348293 354409 633260 644380 696586 708818 918227 1393172 1417636 1741465 1772045 1836454 3197963 3482930 3544090 3672908 3831223 4591135 6395926 6965860 7088180 7662446 9182270 10100497 12791852 15324892 15989815 18364540 19156115 20200994 31979630 35177593 38312230 40401988 50502485 63959260 70355186 76624460 92740927 101004970 111105467 140710372 175887965 185481854 202009940 222210934 351775930 370963708 386953523 444421868 463704635 555527335 703551860 773907046 927409270 1020150197 1111054670 1547814092 1854818540 1934767615 2040300394 2222109340 3869535230 4080600788 5100750985 7739070460 10201501970 11221652167 20403003940 22443304334 44886608668 56108260835 112216521670 224433043340