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2034542224 = 2411135091747
BaseRepresentation
bin111100101000100…
…1010011010010000
312020210100110020201
41321101022122100
513131320322344
6533515144544
7101263215661
oct17121123220
95223313221
102034542224
1195449a760
12489445154
1326567c950
141542cb368
15bd9374d4
hex7944a690

2034542224 has 80 divisors (see below), whose sum is σ = 4642827840. Its totient is φ = 851489280.

The previous prime is 2034542179. The next prime is 2034542227. The reversal of 2034542224 is 4222454302.

It is a super-2 number, since 2×20345422242 = 8278724122477732352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034542192 and 2034542201.

It is not an unprimeable number, because it can be changed into a prime (2034542227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163719 + ... + 1165465.

It is an arithmetic number, because the mean of its divisors is an integer number (58035348).

Almost surely, 22034542224 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 2034542224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321413920).

2034542224 is an abundant number, since it is smaller than the sum of its proper divisors (2608285616).

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

2034542224 is a wasteful number, since it uses less digits than its factorization.

2034542224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 2034542224 is about 45105.9001018714. The cubic root of 2034542224 is about 1267.1331003660.

Adding to 2034542224 its reverse (4222454302), we get a palindrome (6256996526).

The spelling of 2034542224 in words is "two billion, thirty-four million, five hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 509 572 1018 1144 1747 2036 2288 3494 4072 5599 6617 6988 8144 11198 13234 13976 19217 22396 22711 26468 27952 38434 44792 45422 52936 72787 76868 89584 90844 105872 145574 153736 181688 249821 291148 307472 363376 499642 582296 889223 999284 1164592 1778446 1998568 3556892 3997136 7113784 9781453 11559899 14227568 19562906 23119798 39125812 46239596 78251624 92479192 127158889 156503248 184958384 254317778 508635556 1017271112 2034542224