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232212323212232 = 231121627147442387
BaseRepresentation
bin110100110011001000100101…
…000010011001101111001000
31010110012021121001202101200212
4310303020211002121233020
5220414031314220242412
62141512511341020252
766624533562030416
oct6463104502315710
91113167531671625
10232212323212232
1167a98769766100
1222064379254688
139c756b33804cc
14414b1ca4562b6
151bca5970d2222
hexd33225099bc8

232212323212232 has 48 divisors (see below), whose sum is σ = 478872234289680. Its totient is φ = 105486180639840.

The previous prime is 232212323212229. The next prime is 232212323212297.

232212323212232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72146258 + ... + 75296129.

It is an arithmetic number, because the mean of its divisors is an integer number (9976504881035).

Almost surely, 2232212323212232 is an apocalyptic number.

232212323212232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232212323212232 is an abundant number, since it is smaller than the sum of its proper divisors (246659911077448).

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

232212323212232 is a wasteful number, since it uses less digits than its factorization.

232212323212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147444042 (or 147444027 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 232212323212232 in words is "two hundred thirty-two trillion, two hundred twelve billion, three hundred twenty-three million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1627 3254 6508 13016 17897 35794 71588 143176 196867 393734 787468 1574936 147442387 294884774 589769548 1179539096 1621866257 3243732514 6487465028 12974930056 17840528827 35681057654 71362115308 142724230616 239888763649 479777527298 959555054596 1919110109192 2638776400139 5277552800278 10555105600556 21110211201112 29026540401529 58053080803058 116106161606116 232212323212232