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233301220224 = 2734114818421
BaseRepresentation
bin1101100101000111010…
…1100001101110000000
3211022012011101221200020
43121101311201232000
512310300103021344
6255102130453440
722566264436422
oct3312165415600
9738164357606
10233301220224
118aa40502906
1239270134280
1319000602b07
14b412b42812
156106ce2719
hex3651d61b80

233301220224 has 64 divisors (see below), whose sum is σ = 634821198480. Its totient is φ = 75870310400.

The previous prime is 233301220219. The next prime is 233301220241. The reversal of 233301220224 is 422022103332.

233301220224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2333012202242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233301220194 and 233301220203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7393467 + ... + 7424954.

Almost surely, 2233301220224 is an apocalyptic number.

233301220224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233301220224 is an abundant number, since it is smaller than the sum of its proper divisors (401519978256).

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

233301220224 is a wasteful number, since it uses less digits than its factorization.

233301220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818479 (or 14818467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233301220224 its reverse (422022103332), we get a palindrome (655323323556).

The spelling of 233301220224 in words is "two hundred thirty-three billion, three hundred one million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 14818421 29636842 44455263 59273684 88910526 118547368 177821052 237094736 355642104 474189472 607555261 711284208 948378944 1215110522 1422568416 1822665783 1896757888 2430221044 2845136832 3645331566 4860442088 5690273664 7290663132 9720884176 14581326264 19441768352 29162652528 38883536704 58325305056 77767073408 116650610112 233301220224