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332131112220 = 223523263915113
BaseRepresentation
bin1001101010101001000…
…11101001010100011100
31011202021210021122111110
410311110203221110130
520420201031042340
6412325014222020
732665342605345
oct4652443512434
91152253248443
10332131112220
111189463994a6
1254452054910
1325420885b4b
141210a6150cc
15898d448680
hex4d548e951c

332131112220 has 96 divisors (see below), whose sum is σ = 974091267072. Its totient is φ = 84395289088.

The previous prime is 332131112213. The next prime is 332131112249. The reversal of 332131112220 is 22211131233.

It is a super-2 number, since 2×3321311122202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 94617 + ... + 820496.

It is an arithmetic number, because the mean of its divisors is an integer number (10146784032).

Almost surely, 2332131112220 is an apocalyptic number.

332131112220 is a gapful number since it is divisible by the number (30) 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 332131112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487045633536).

332131112220 is an abundant number, since it is smaller than the sum of its proper divisors (641960154852).

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

332131112220 is a wasteful number, since it uses less digits than its factorization.

332131112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915411 (or 915409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 332131112220 its reverse (22211131233), we get a palindrome (354342243453).

The spelling of 332131112220 in words is "three hundred thirty-two billion, one hundred thirty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 263 276 345 460 526 690 789 1052 1315 1380 1578 2630 3156 3945 5260 6049 7890 12098 15780 18147 24196 30245 36294 60490 72588 90735 120980 181470 362940 915113 1830226 2745339 3660452 4575565 5490678 9151130 10981356 13726695 18302260 21047599 27453390 42095198 54906780 63142797 84190396 105237995 126285594 210475990 240674719 252571188 315713985 420951980 481349438 631427970 722024157 962698876 1203373595 1262855940 1444048314 2406747190 2888096628 3610120785 4813494380 5535518537 7220241570 11071037074 14440483140 16606555611 22142074148 27677592685 33213111222 55355185370 66426222444 83032778055 110710370740 166065556110 332131112220