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2322045302340 = 22351491129230059
BaseRepresentation
bin100001110010100100101…
…011110111011001000100
322012222121022220021022110
4201302210223313121010
5301021022044133330
64534422145301020
7326522306260041
oct41624453673104
98188538807273
102322045302340
11815857046015
12316040334770
1313ac7771707a
148055d7a61c8
1540605c67db0
hex21ca4af7644

2322045302340 has 96 divisors (see below), whose sum is σ = 6551188560000. Its totient is φ = 614508844032.

The previous prime is 2322045302333. The next prime is 2322045302341. The reversal of 2322045302340 is 432035402232.

It is a happy number.

It is a super-2 number, since 2×23220453023402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2322045302298 and 2322045302307.

It is not an unprimeable number, because it can be changed into a prime (2322045302341) 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, 9978231 + ... + 10208289.

It is an arithmetic number, because the mean of its divisors is an integer number (68241547500).

Almost surely, 22322045302340 is an apocalyptic number.

2322045302340 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 2322045302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275594280000).

2322045302340 is an abundant number, since it is smaller than the sum of its proper divisors (4229143257660).

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

2322045302340 is a wasteful number, since it uses less digits than its factorization.

2322045302340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231349 (or 231347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The spelling of 2322045302340 in words is "two trillion, three hundred twenty-two billion, forty-five million, three hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1129 1490 1788 2235 2258 2980 3387 4470 4516 5645 6774 8940 11290 13548 16935 22580 33870 67740 168221 230059 336442 460118 504663 672884 690177 841105 920236 1009326 1150295 1380354 1682210 2018652 2300590 2523315 2760708 3364420 3450885 4601180 5046630 6901770 10093260 13803540 34278791 68557582 102836373 137115164 171393955 205672746 259736611 342787910 411345492 514181865 519473222 685575820 779209833 1028363730 1038946444 1298683055 1558419666 2056727460 2597366110 3116839332 3896049165 5194732220 7792098330 15584196660 38700755039 77401510078 116102265117 154803020156 193503775195 232204530234 387007550390 464409060468 580511325585 774015100780 1161022651170 2322045302340