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2299519116 = 22322331101887
BaseRepresentation
bin1000100100001111…
…1110000010001100
312221020221200012200
42021003332002030
514202134102431
61020102401500
7110661406236
oct21103760214
95836850180
102299519116
11a80022824
12542130290
132a85372cb
1417b585256
15d6d28ee6
hex890fe08c

2299519116 has 144 divisors (see below), whose sum is σ = 6330175488. Its totient is φ = 701712000.

The previous prime is 2299519081. The next prime is 2299519129. The reversal of 2299519116 is 6119159922.

It is an unprimeable number.

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, 2592025 + ... + 2592911.

It is an arithmetic number, because the mean of its divisors is an integer number (43959552).

Almost surely, 22299519116 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 2299519116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165087744).

2299519116 is an abundant number, since it is smaller than the sum of its proper divisors (4030656372).

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

2299519116 is a wasteful number, since it uses less digits than its factorization.

2299519116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The square root of 2299519116 is about 47953.3014087664. The cubic root of 2299519116 is about 1319.9141197570.

The spelling of 2299519116 in words is "two billion, two hundred ninety-nine million, five hundred nineteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 101 124 138 186 202 207 276 279 303 372 404 414 558 606 713 828 887 909 1116 1212 1426 1774 1818 2139 2323 2661 2852 3131 3548 3636 4278 4646 5322 6262 6417 6969 7983 8556 9292 9393 10644 12524 12834 13938 15966 18786 20401 20907 25668 27497 27876 28179 31932 37572 40802 41814 54994 56358 61203 72013 81604 82491 83628 89587 109988 112716 122406 144026 164982 179174 183609 216039 244812 247473 268761 288052 329964 358348 367218 432078 494946 537522 632431 648117 734436 806283 864156 989892 1075044 1264862 1296234 1612566 1897293 2060501 2529724 2592468 2777197 3225132 3794586 4121002 5554394 5691879 6181503 7589172 8242004 8331591 11108788 11383758 12363006 16663182 18544509 22767516 24726012 24994773 33326364 37089018 49989546 63875531 74178036 99979092 127751062 191626593 255502124 383253186 574879779 766506372 1149759558 2299519116