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2299696960 = 26511259393
BaseRepresentation
bin1000100100010010…
…1001011101000000
312221021021201011111
42021010221131000
514202210300320
61020110253104
7110663046601
oct21104513500
95837251144
102299696960
11a80134400
125421b7194
132a859a242
1417b5cdda8
15d6d61a5a
hex89129740

2299696960 has 84 divisors (see below), whose sum is σ = 6019344324. Its totient is φ = 836239360.

The previous prime is 2299696937. The next prime is 2299696961. The reversal of 2299696960 is 696969922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 646786624 + 1652910336 = 25432^2 + 40656^2 .

It is a super-2 number, since 2×22996969602 = 10577212215666483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2299696895 and 2299696904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299696961) 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 11 ways as a sum of consecutive naturals, for example, 9024 + ... + 68416.

It is an arithmetic number, because the mean of its divisors is an integer number (71658861).

Almost surely, 22299696960 is an apocalyptic number.

2299696960 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 2299696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009672162).

2299696960 is an abundant number, since it is smaller than the sum of its proper divisors (3719647364).

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

2299696960 is a wasteful number, since it uses less digits than its factorization.

2299696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59432 (or 59411 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 58.

The square root of 2299696960 is about 47955.1557186503. The cubic root of 2299696960 is about 1319.9481461112.

The spelling of 2299696960 in words is "two billion, two hundred ninety-nine million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 59393 118786 237572 296965 475144 593930 653323 950288 1187860 1306646 1900576 2375720 2613292 3266615 3801152 4751440 5226584 6533230 7186553 9502880 10453168 13066460 14373106 19005760 20906336 26132920 28746212 35932765 41812672 52265840 57492424 71865530 104531680 114984848 143731060 209063360 229969696 287462120 459939392 574924240 1149848480 2299696960