Search a number
-
+
332224441340 = 22511382715091
BaseRepresentation
bin1001101010110100001…
…11101010101111111100
31011202112021220020222112
410311122013222233330
520420343424110330
6412342150433152
733000555105041
oct4653207525774
91152467806875
10332224441340
11118994044000
12544793627b8
132543700218c
1412118b8b1c8
158996731795
hex4d5a1eabfc

332224441340 has 96 divisors (see below), whose sum is σ = 768364869888. Its totient is φ = 120654811200.

The previous prime is 332224441333. The next prime is 332224441399. The reversal of 332224441340 is 43144422233.

It is a super-2 number, since 2×3322244413402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332224441297 and 332224441306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22007195 + ... + 22022285.

It is an arithmetic number, because the mean of its divisors is an integer number (8003800728).

Almost surely, 2332224441340 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 332224441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384182434944).

332224441340 is an abundant number, since it is smaller than the sum of its proper divisors (436140428548).

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

332224441340 is a wasteful number, since it uses less digits than its factorization.

332224441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15960 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 332224441340 its reverse (43144422233), we get a palindrome (375368863573).

The spelling of 332224441340 in words is "three hundred thirty-two billion, two hundred twenty-four million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 827 1210 1331 1654 2420 2662 3308 4135 5324 6655 8270 9097 13310 15091 16540 18194 26620 30182 36388 45485 60364 75455 90970 100067 150910 166001 181940 200134 301820 332002 400268 500335 664004 830005 1000670 1100737 1660010 1826011 2001340 2201474 3320020 3652022 4402948 5503685 7304044 9130055 11007370 12480257 18260110 20086121 22014740 24960514 36520220 40172242 49921028 62401285 80344484 100430605 124802570 137282827 200861210 249605140 274565654 401722420 549131308 686414135 1372828270 1510111097 2745656540 3020222194 6040444388 7550555485 15101110970 16611222067 30202221940 33222444134 66444888268 83056110335 166112220670 332224441340