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224302093422 = 2311194319972083
BaseRepresentation
bin1101000011100101110…
…0100101010001101110
3210102221222221221110120
43100321130211101232
512133332313442142
6251013140145410
722130262223221
oct3207134452156
9712858857416
10224302093422
1187142758730
123757a398266
13181c809a104
14abdb8b75b8
155c7bc397ec
hex343972546e

224302093422 has 128 divisors (see below), whose sum is σ = 527640791040. Its totient is φ = 62833760640.

The previous prime is 224302093397. The next prime is 224302093471. The reversal of 224302093422 is 224390203422.

224302093422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2243020934222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107681193 + ... + 107683275.

It is an arithmetic number, because the mean of its divisors is an integer number (4122193680).

Almost surely, 2224302093422 is an apocalyptic number.

224302093422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224302093422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263820395520).

224302093422 is an abundant number, since it is smaller than the sum of its proper divisors (303338697618).

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

224302093422 is a wasteful number, since it uses less digits than its factorization.

224302093422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 224302093422 its reverse (224390203422), we get a palindrome (448692296844).

The spelling of 224302093422 in words is "two hundred twenty-four billion, three hundred two million, ninety-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 418 473 627 817 946 1254 1419 1634 1997 2083 2451 2838 3994 4166 4902 5991 6249 8987 11982 12498 17974 21967 22913 26961 37943 39577 43934 45826 53922 65901 68739 75886 79154 85871 89569 113829 118731 131802 137478 171742 179138 227658 237462 257613 268707 417373 435347 515226 537414 834746 870694 944581 985259 1252119 1306041 1631549 1701811 1889162 1970518 2504238 2612082 2833743 2955777 3263098 3403622 4159751 4894647 5105433 5667486 5911554 8319502 9789294 10210866 12479253 17947039 18719921 24958506 35894078 37439842 45757261 53841117 56159763 79035269 91514522 107682234 112319526 137271783 158070538 178869293 237105807 274543566 357738586 474211614 536607879 869387959 1073215758 1738775918 1967562223 2608163877 3398516567 3935124446 5216327754 5902686669 6797033134 10195549701 11805373338 20391099402 37383682237 74767364474 112151046711 224302093422