Search a number
-
+
2320000202312 = 2313217161962347
BaseRepresentation
bin100001110000101010110…
…010011011011001001000
322012210022210200102110222
4201300222302123121020
5301002330022433222
64533443211525212
7326420524226222
oct41605262333110
98183283612428
102320000202312
118149a76a5101
1231576b459808
1313aa0cb0ba00
1480407d2b412
1540536447542
hex21c2ac9b648

2320000202312 has 96 divisors (see below), whose sum is σ = 4990595781600. Its totient is φ = 1007144266752.

The previous prime is 2320000202309. The next prime is 2320000202339. The reversal of 2320000202312 is 2132020000232.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37179923 + ... + 37242269.

It is an arithmetic number, because the mean of its divisors is an integer number (51985372725).

Almost surely, 22320000202312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320000202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495297890800).

2320000202312 is an abundant number, since it is smaller than the sum of its proper divisors (2670595579288).

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

2320000202312 is a wasteful number, since it uses less digits than its factorization.

2320000202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64015 (or 63998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2320000202312 its reverse (2132020000232), we get a palindrome (4452020202544).

The spelling of 2320000202312 in words is "two trillion, three hundred twenty billion, two hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1619 1768 2873 3238 5746 6476 11492 12952 21047 22984 27523 42094 55046 62347 84188 110092 124694 168376 220184 249388 273611 357799 498776 547222 715598 810511 1059899 1094444 1431196 1621022 2119798 2188888 2862392 3242044 4239596 4651387 6484088 8479192 9302774 10536643 13778687 18605548 21073286 27557374 37211096 42146572 55114748 84293144 100939793 110229496 179122931 201879586 358245862 403759172 716491724 807518344 1312217309 1432983448 1715976481 2624434618 3431952962 5248869236 6863905924 10497738472 13727811848 17058825017 22307694253 34117650034 44615388506 68235300068 89230777012 136470600136 178461554024 290000025289 580000050578 1160000101156 2320000202312