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331361224216 = 231171241121997
BaseRepresentation
bin1001101001001101010…
…10110000011000011000
31011200022010121021200221
410310212222300120120
520412111433133331
6412120353005424
732640303635041
oct4644652603030
91150263537627
10331361224216
11118590855220
1254278253874
132532a216c09
14120762878c8
158945a6d711
hex4d26ab0618

331361224216 has 64 divisors (see below), whose sum is σ = 687646920960. Its totient is φ = 148429008000.

The previous prime is 331361224213. The next prime is 331361224217. The reversal of 331361224216 is 612422163133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331361224213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15052930 + ... + 15074926.

It is an arithmetic number, because the mean of its divisors is an integer number (10744483140).

Almost surely, 2331361224216 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 331361224216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343823460480).

331361224216 is an abundant number, since it is smaller than the sum of its proper divisors (356285696744).

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

331361224216 is a wasteful number, since it uses less digits than its factorization.

331361224216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24496 (or 24492 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

Adding to 331361224216 its reverse (612422163133), we get a palindrome (943783387349).

The spelling of 331361224216 in words is "three hundred thirty-one billion, three hundred sixty-one million, two hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 2411 3124 4822 6248 9644 19288 21997 26521 43994 53042 87988 106084 171181 175976 212168 241967 342362 483934 684724 967868 1369448 1561787 1882991 1935736 3123574 3765982 6247148 7531964 12494296 15063928 17179657 34359314 53034767 68718628 106069534 137437256 212139068 424278136 583382437 1166764874 2333529748 3765468457 4667059496 7530936914 15061873828 30123747656 41420153027 82840306054 165680612108 331361224216