Search a number
-
+
2322521538420 = 223573878360373
BaseRepresentation
bin100001110011000001000…
…100100011111101110100
322020000211112000120101210
4201303001010203331310
5301023011003212140
64534541320521420
7326540151230316
oct41630104437564
98200745016353
102322521538420
11815a80951256
12316153920270
1313b02229b775
14805a6b337b6
1540632989d80
hex21cc1123f74

2322521538420 has 96 divisors (see below), whose sum is σ = 6593003085312. Its totient is φ = 610775313408.

The previous prime is 2322521538401. The next prime is 2322521538451. The reversal of 2322521538420 is 248351252232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38439354 + ... + 38499726.

It is an arithmetic number, because the mean of its divisors is an integer number (68677115472).

Almost surely, 22322521538420 is an apocalyptic number.

2322521538420 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 2322521538420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296501542656).

2322521538420 is an abundant number, since it is smaller than the sum of its proper divisors (4270481546892).

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

2322521538420 is a wasteful number, since it uses less digits than its factorization.

2322521538420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69241 (or 69239 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 2322521538420 in words is "two trillion, three hundred twenty-two billion, five hundred twenty-one million, five hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 8783 17566 26349 35132 43915 52698 60373 87830 105396 120746 131745 175660 181119 241492 263490 301865 362238 526980 603730 641159 724476 905595 1207460 1282318 1811190 1923477 2564636 3205795 3622380 3846954 4407229 6411590 7693908 8814458 9617385 12823180 13221687 17628916 19234770 22036145 26443374 38469540 44072290 52886748 66108435 88144580 132216870 264433740 530256059 1060512118 1590768177 2121024236 2651280295 3181536354 5302560590 6363072708 7953840885 10605121180 15907681770 31815363540 38708692307 77417384614 116126076921 154834769228 193543461535 232252153842 387086923070 464504307684 580630384605 774173846140 1161260769210 2322521538420