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2299027104 = 253311221991
BaseRepresentation
bin1000100100001000…
…0101111010100000
312221020000200022000
42021002011322200
514202022331404
61020044044000
7110654256633
oct21102057240
95836020260
102299027104
11a7a817100
12541b33600
132a83c438a
1417b497c1a
15d6c7d339
hex89085ea0

2299027104 has 144 divisors (see below), whose sum is σ = 7370838720. Its totient is φ = 696643200.

The previous prime is 2299027103. The next prime is 2299027117. The reversal of 2299027104 is 4017209922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2299027103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93549 + ... + 115539.

It is an arithmetic number, because the mean of its divisors is an integer number (51186380).

Almost surely, 22299027104 is an apocalyptic number.

2299027104 is a gapful number since it is divisible by the number (24) 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 2299027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685419360).

2299027104 is an abundant number, since it is smaller than the sum of its proper divisors (5071811616).

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

2299027104 is a wasteful number, since it uses less digits than its factorization.

2299027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032 (or 22007 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2299027104 is about 47948.1710182985. The cubic root of 2299027104 is about 1319.8199754490.

The spelling of 2299027104 in words is "two billion, two hundred ninety-nine million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 21991 26136 34848 43982 52272 65973 87964 104544 131946 175928 197919 241901 263892 351856 395838 483802 527784 593757 703712 725703 791676 967604 1055568 1187514 1451406 1583352 1935208 2111136 2177109 2375028 2660911 2902812 3166704 3870416 4354218 4750056 5321822 5805624 6333408 6531327 7740832 7982733 8708436 9500112 10643644 11611248 13062654 15965466 17416872 19000224 21287288 23222496 23948199 26125308 31930932 34833744 42574576 47896398 52250616 63861864 69667488 71844597 85149152 95792796 104501232 127723728 143689194 191585592 209002464 255447456 287378388 383171184 574756776 766342368 1149513552 2299027104