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223223310002232 = 23323977809379723
BaseRepresentation
bin110010110000010100111010…
…000110010010100000111000
31002021100221101021112022212200
4302300110322012102200320
5213224242314330032412
62110431212315310200
765006231500315641
oct6260247206224070
91067327337468780
10223223310002232
1165142524092a11
122105220aa4b360
139772b387714b7
143d1a0cc9a26c8
151ac183d2359dc
hexcb053a192838

223223310002232 has 48 divisors (see below), whose sum is σ = 606085960379640. Its totient is φ = 74220344877888.

The previous prime is 223223310002197. The next prime is 223223310002233. The reversal of 223223310002232 is 232200013322322.

223223310002232 is a `hidden beast` number, since 2 + 2 + 322 + 3 + 3 + 100 + 0 + 2 + 232 = 666.

It is a super-3 number, since 3×2232233100022323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223223310002196 and 223223310002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223223310002233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3904661278 + ... + 3904718445.

Almost surely, 2223223310002232 is an apocalyptic number.

It is an amenable number.

223223310002232 is an abundant number, since it is smaller than the sum of its proper divisors (382862650377408).

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

223223310002232 is a wasteful number, since it uses less digits than its factorization.

223223310002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809380132 (or 7809380125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223223310002232 its reverse (232200013322322), we get a palindrome (455423323324554).

The spelling of 223223310002232 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, three hundred ten million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 397 794 1191 1588 2382 3176 3573 4764 7146 9528 14292 28584 7809379723 15618759446 23428139169 31237518892 46856278338 62475037784 70284417507 93712556676 140568835014 187425113352 281137670028 562275340056 3100323750031 6200647500062 9300971250093 12401295000124 18601942500186 24802590000248 27902913750279 37203885000372 55805827500558 74407770000744 111611655001116 223223310002232