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2298668922 = 2331110337571
BaseRepresentation
bin1000100100000010…
…1110011101111010
312221012100110222000
42021000232131322
514201424401142
61020032241430
7110651235444
oct21100563572
95835313860
102298668922
11a7a5a1a90
125419a0276
132a82ca334
1417b403494
15d6c0c14c
hex8902e77a

2298668922 has 64 divisors (see below), whose sum is σ = 5626782720. Its totient is φ = 689785200.

The previous prime is 2298668899. The next prime is 2298668927.

2298668922 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2298668927) 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, 42397 + ... + 79967.

It is an arithmetic number, because the mean of its divisors is an integer number (87918480).

Almost surely, 22298668922 is an apocalyptic number.

2298668922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298668922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813391360).

2298668922 is an abundant number, since it is smaller than the sum of its proper divisors (3328113798).

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

2298668922 is a wasteful number, since it uses less digits than its factorization.

2298668922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37696 (or 37690 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2298668922 is about 47944.4357772620. The cubic root of 2298668922 is about 1319.7514304675.

The spelling of 2298668922 in words is "two billion, two hundred ninety-eight million, six hundred sixty-eight thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 927 1133 1854 2266 2781 3399 5562 6798 10197 20394 30591 37571 61182 75142 112713 225426 338139 413281 676278 826562 1014417 1239843 2028834 2479686 3719529 3869813 7439058 7739626 11158587 11609439 22317174 23218878 34828317 42567943 69656634 85135886 104484951 127703829 208969902 255407658 383111487 766222974 1149334461 2298668922