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422103301224 = 233116723863823
BaseRepresentation
bin1100010010001110101…
…00010011110001101000
31111100112002211102002220
412021013110103301220
523403431421114344
6521524522354040
742332053601313
oct6110724236150
91440462742086
10422103301224
111530163447a0
126998165b920
1330a5b9bb5c7
141660395397a
15aea712ec19
hex6247513c68

422103301224 has 64 divisors (see below), whose sum is σ = 1168372823040. Its totient is φ = 126000980160.

The previous prime is 422103301171. The next prime is 422103301267.

It is a happy number.

422103301224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422103301194 and 422103301203.

It is an unprimeable number.

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, 11914224 + ... + 11949599.

It is an arithmetic number, because the mean of its divisors is an integer number (18255825360).

Almost surely, 2422103301224 is an apocalyptic number.

422103301224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422103301224 is an abundant number, since it is smaller than the sum of its proper divisors (746269521816).

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

422103301224 is a wasteful number, since it uses less digits than its factorization.

422103301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863910 (or 23863906 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 422103 and 301224, that added together give a palindrome (723327).

The spelling of 422103301224 in words is "four hundred twenty-two billion, one hundred three million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 17688 23863823 47727646 71591469 95455292 143182938 190910584 262502053 286365876 525004106 572731752 787506159 1050008212 1575012318 1598876141 2100016424 3150024636 3197752282 4796628423 6300049272 6395504564 9593256846 12791009128 17587637551 19186513692 35175275102 38373027384 52762912653 70350550204 105525825306 140701100408 211051650612 422103301224