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2230158476 = 2271322331661
BaseRepresentation
bin1000010011101101…
…1000010010001100
312202102102210022002
42010323120102030
514031410032401
61005144011432
7106160014520
oct20473302214
95672383262
102230158476
11a44959087
12522a60b78
13297060800
1417228bd80
15d0bc7a6b
hex84ed848c

2230158476 has 144 divisors (see below), whose sum is σ = 5210247168. Its totient is φ = 815443200.

The previous prime is 2230158431. The next prime is 2230158479. The reversal of 2230158476 is 6748510322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2230158479) 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 47 ways as a sum of consecutive naturals, for example, 3373586 + ... + 3374246.

It is an arithmetic number, because the mean of its divisors is an integer number (36182272).

Almost surely, 22230158476 is an apocalyptic number.

2230158476 is a gapful number since it is divisible by the number (26) 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 2230158476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605123584).

2230158476 is an abundant number, since it is smaller than the sum of its proper divisors (2980088692).

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

2230158476 is a wasteful number, since it uses less digits than its factorization.

2230158476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 2230158476 is about 47224.5537406125. The cubic root of 2230158476 is about 1306.5075038966.

Adding to 2230158476 its reverse (6748510322), we get a palindrome (8978668798).

The spelling of 2230158476 in words is "two billion, two hundred thirty million, one hundred fifty-eight thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 52 62 91 92 124 161 169 182 217 299 322 338 364 403 434 598 644 661 676 713 806 868 1183 1196 1322 1426 1612 2093 2366 2644 2821 2852 3887 4186 4627 4732 4991 5239 5642 7774 8372 8593 9254 9269 9982 10478 11284 15203 15548 17186 18508 18538 19964 20491 20956 27209 30406 34372 36673 37076 40982 54418 60151 60812 64883 73346 81964 106421 108836 111709 120302 120497 129766 143437 146692 197639 212842 223418 240604 240994 259532 266383 286874 395278 425684 446836 471293 481988 532766 573748 781963 790556 843479 942586 1065532 1383473 1563926 1686958 1864681 1885172 2569307 2766946 3127852 3299051 3373916 3462979 3729362 5138614 5533892 6126809 6598102 6925958 7458724 10277228 12253618 13196204 13851916 17985149 24240853 24507236 35970298 42887663 48481706 71940596 79648517 85775326 96963412 159297034 171550652 318594068 557539619 1115079238 2230158476