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2300132296 = 2371123315237
BaseRepresentation
bin1000100100011001…
…0011101111001000
312221022002211100001
42021012103233020
514202313213141
61020123452344
7110666542030
oct21106235710
95838084301
102300132296
11a80401490
125423870b4
132a86c0437
1417b6a48c0
15d6deaa31
hex89193bc8

2300132296 has 128 divisors (see below), whose sum is σ = 5792808960. Its totient is φ = 829382400.

The previous prime is 2300132293. The next prime is 2300132297. The reversal of 2300132296 is 6922310032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2300132293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436590 + ... + 441826.

It is an arithmetic number, because the mean of its divisors is an integer number (45256320).

Almost surely, 22300132296 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 2300132296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896404480).

2300132296 is an abundant number, since it is smaller than the sum of its proper divisors (3492676664).

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

2300132296 is a wasteful number, since it uses less digits than its factorization.

2300132296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2300132296 is about 47959.6944944398. The cubic root of 2300132296 is about 1320.0314302280.

The spelling of 2300132296 in words is "two billion, three hundred million, one hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 31 44 46 56 62 77 88 92 124 154 161 184 217 248 253 308 322 341 434 506 616 644 682 713 868 1012 1288 1364 1426 1736 1771 2024 2387 2728 2852 3542 4774 4991 5237 5704 7084 7843 9548 9982 10474 14168 15686 19096 19964 20948 31372 36659 39928 41896 54901 57607 62744 73318 109802 115214 120451 146636 162347 219604 230428 240902 293272 324694 403249 439208 460856 481804 649388 806498 843157 963608 1136429 1298776 1324961 1612996 1686314 1785817 2272858 2649922 3225992 3372628 3571634 3733981 4545716 5299844 6745256 7143268 7467962 9091432 9274727 10599688 12500719 14286536 14935924 18549454 25001438 26137867 29871848 37098908 41073791 50002876 52275734 74197816 82147582 100005752 104551468 164295164 209102936 287516537 328590328 575033074 1150066148 2300132296