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2299400960 = 28517251421
BaseRepresentation
bin1000100100001110…
…0001001100000000
312221020201200010112
42021003201030000
514202121312320
61020100050452
7110660404613
oct21103411400
95836650115
102299400960
11a7aa51a7a
12542093a28
132a84c55ac
1417b55417a
15d6d03ec5
hex890e1300

2299400960 has 144 divisors (see below), whose sum is σ = 5868912672. Its totient is φ = 860160000.

The previous prime is 2299400933. The next prime is 2299400989. The reversal of 2299400960 is 690049922.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461550 + ... + 5461970.

It is an arithmetic number, because the mean of its divisors is an integer number (40756338).

Almost surely, 22299400960 is an apocalyptic number.

2299400960 is a gapful number since it is divisible by the number (20) 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 2299400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934456336).

2299400960 is an abundant number, since it is smaller than the sum of its proper divisors (3569511712).

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

2299400960 is a wasteful number, since it uses less digits than its factorization.

2299400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 2299400960 is about 47952.0694026858. The cubic root of 2299400960 is about 1319.8915123572.

The spelling of 2299400960 in words is "two billion, two hundred ninety-nine million, four hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 251 256 272 320 340 421 502 544 640 680 842 1004 1088 1255 1280 1360 1684 2008 2105 2176 2510 2720 3368 4016 4210 4267 4352 5020 5440 6736 7157 8032 8420 8534 10040 10880 13472 14314 16064 16840 17068 20080 21335 21760 26944 28628 32128 33680 34136 35785 40160 42670 53888 57256 64256 67360 68272 71570 80320 85340 105671 107776 114512 134720 136544 143140 160640 170680 211342 229024 269440 273088 286280 321280 341360 422684 458048 528355 538880 546176 572560 682720 845368 916096 1056710 1092352 1145120 1365440 1690736 1796407 1832192 2113420 2290240 2730880 3381472 3592814 4226840 4580480 5461760 6762944 7185628 8453680 8982035 9160960 13525888 14371256 16907360 17964070 27051776 28742512 33814720 35928140 57485024 67629440 71856280 114970048 135258880 143712560 229940096 287425120 459880192 574850240 1149700480 2299400960