Search a number
-
+
2232321321000 = 233533132377339
BaseRepresentation
bin100000011111000000101…
…110000010100000101000
321220102000022101202121110
4200133000232002200220
5243033243224233000
64425303025110320
7320165001102441
oct40370056024050
97812008352543
102232321321000
117907a4209921
1230077ba883a0
13132678b47254
147a08b3d82c8
153d103c5e850
hex207c0b82828

2232321321000 has 128 divisors (see below), whose sum is σ = 6987097353600. Its totient is φ = 593383564800.

The previous prime is 2232321320981. The next prime is 2232321321029. The reversal of 2232321321000 is 1231232322.

It is a happy number.

It is a super-3 number, since 3×22323213210003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249670 + ... + 2127669.

It is an arithmetic number, because the mean of its divisors is an integer number (54586698075).

Almost surely, 22232321321000 is an apocalyptic number.

2232321321000 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 2232321321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493548676800).

2232321321000 is an abundant number, since it is smaller than the sum of its proper divisors (4754776032600).

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

2232321321000 is a wasteful number, since it uses less digits than its factorization.

2232321321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377676 (or 2377662 counting only the distinct ones).

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

Adding to 2232321321000 its reverse (1231232322), we get a palindrome (2233552553322).

The spelling of 2232321321000 in words is "two trillion, two hundred thirty-two billion, three hundred twenty-one million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 313 375 500 600 626 750 939 1000 1252 1500 1565 1878 2504 3000 3130 3756 4695 6260 7512 7825 9390 12520 15650 18780 23475 31300 37560 39125 46950 62600 78250 93900 117375 156500 187800 234750 313000 469500 939000 2377339 4754678 7132017 9509356 11886695 14264034 19018712 23773390 28528068 35660085 47546780 57056136 59433475 71320170 95093560 118866950 142640340 178300425 237733900 285280680 297167375 356600850 475467800 594334750 713201700 744107107 891502125 1188669500 1426403400 1488214214 1783004250 2232321321 2377339000 2976428428 3566008500 3720535535 4464642642 5952856856 7132017000 7441071070 8929285284 11161606605 14882142140 17858570568 18602677675 22323213210 29764284280 37205355350 44646426420 55808033025 74410710700 89292852840 93013388375 111616066050 148821421400 186026776750 223232132100 279040165125 372053553500 446464264200 558080330250 744107107000 1116160660500 2232321321000