Search a number
-
+
2201230312320 = 27351388190317
BaseRepresentation
bin100000000010000011100…
…011010000001110000000
321210102202112011212200110
4200002003203100032000
5242031104424443240
64403121540551320
7315014352636324
oct40020343201600
97712675155613
102201230312320
1177959a141926
122b67436b2540
1312c76272bbb0
147877c111984
153c3d4478c80
hex200838d0380

2201230312320 has 128 divisors (see below), whose sum is σ = 7556146446240. Its totient is φ = 541841301504.

The previous prime is 2201230312279. The next prime is 2201230312327. The reversal of 2201230312320 is 232130321022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201230312327) 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 15 ways as a sum of consecutive naturals, for example, 44070199 + ... + 44120118.

Almost surely, 22201230312320 is an apocalyptic number.

2201230312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201230312320 is an abundant number, since it is smaller than the sum of its proper divisors (5354916133920).

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

2201230312320 is a wasteful number, since it uses less digits than its factorization.

2201230312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88190352 (or 88190340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2201230312320 its reverse (232130321022), we get a palindrome (2433360633342).

The spelling of 2201230312320 in words is "two trillion, two hundred one billion, two hundred thirty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 88190317 176380634 264570951 352761268 440951585 529141902 705522536 881903170 1058283804 1146474121 1322854755 1411045072 1763806340 2116567608 2292948242 2645709510 2822090144 3439422363 3527612680 4233135216 4585896484 5291419020 5644180288 5732370605 6878844726 7055225360 8466270432 9171792968 10582838040 11288360576 11464741210 13757689452 14110450720 16932540864 17197111815 18343585936 21165676080 22929482420 27515378904 28220901440 33865081728 34394223630 36687171872 42331352160 45858964840 55030757808 56441802880 68788447260 73374343744 84662704320 91717929680 110061515616 137576894520 146748687488 169325408640 183435859360 220123031232 275153789040 366871718720 440246062464 550307578080 733743437440 1100615156160 2201230312320