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2442311223320 = 235592309448193
BaseRepresentation
bin100011100010100101000…
…101111100100000011000
322122111000212110001211002
4203202211011330200120
5310003323133121240
65105552101324132
7341310514604213
oct43424505744030
98574025401732
102442311223320
11861862018541
12335405106648
13149402a29717
14862cc17077a
15437e4249d15
hex238a517c818

2442311223320 has 64 divisors (see below), whose sum is σ = 5590771956000. Its totient is φ = 959948382208.

The previous prime is 2442311223299. The next prime is 2442311223329. The reversal of 2442311223320 is 233221132442.

It is a super-2 number, since 2×24423112233202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442311223329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5225144 + ... + 5673336.

Almost surely, 22442311223320 is an apocalyptic number.

2442311223320 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 2442311223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795385978000).

2442311223320 is an abundant number, since it is smaller than the sum of its proper divisors (3148460732680).

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

2442311223320 is a wasteful number, since it uses less digits than its factorization.

2442311223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450572 (or 450568 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2442311223320 its reverse (233221132442), we get a palindrome (2675532355762).

The spelling of 2442311223320 in words is "two trillion, four hundred forty-two billion, three hundred eleven million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2309 2360 4618 9236 11545 18472 23090 46180 92360 136231 272462 448193 544924 681155 896386 1089848 1362310 1792772 2240965 2724620 3585544 4481930 5449240 8963860 17927720 26443387 52886774 105773548 132216935 211547096 264433870 528867740 1034877637 1057735480 2069755274 4139510548 5174388185 8279021096 10348776370 20697552740 41395105480 61057780583 122115561166 244231122332 305288902915 488462244664 610577805830 1221155611660 2442311223320