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223030322130 = 235711316930467
BaseRepresentation
bin1100111110110110100…
…1001010001111010010
3210022200100220021020010
43033231221022033102
512123231230302010
6250243025455350
722053620313210
oct3175551121722
9708610807203
10223030322130
118664a891080
12372844a1556
1318054766b15
14ab1aa23cb0
155c05273620
hex33eda4a3d2

223030322130 has 128 divisors (see below), whose sum is σ = 667585566720. Its totient is φ = 46327818240.

The previous prime is 223030322117. The next prime is 223030322131. The reversal of 223030322130 is 31223030322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 223030322097 and 223030322106.

It is not an unprimeable number, because it can be changed into a prime (223030322131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7305157 + ... + 7335623.

It is an arithmetic number, because the mean of its divisors is an integer number (5215512240).

Almost surely, 2223030322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223030322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333792783360).

223030322130 is an abundant number, since it is smaller than the sum of its proper divisors (444555244590).

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

223030322130 is a wasteful number, since it uses less digits than its factorization.

223030322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33664.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 223030322130 its reverse (31223030322), we get a palindrome (254253352452).

The spelling of 223030322130 in words is "two hundred twenty-three billion, thirty million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3169 6338 9507 15845 19014 22183 30467 31690 34859 44366 47535 60934 66549 69718 91401 95070 104577 110915 133098 152335 174295 182802 209154 213269 221830 244013 304670 332745 335137 348590 426538 457005 488026 522885 639807 665490 670274 732039 914010 1005411 1045770 1066345 1220065 1279614 1464078 1675685 2010822 2132690 2345959 2440130 3199035 3351370 3660195 4691918 5027055 6398070 7037877 7320390 10054110 11729795 14075754 23459590 35189385 70378770 96549923 193099846 289649769 482749615 579299538 675849461 965499230 1062049153 1351698922 1448248845 2027548383 2124098306 2896497690 3186147459 3379247305 4055096766 5310245765 6372294918 6758494610 7434344071 10137741915 10620491530 14868688142 15930737295 20275483830 22303032213 31861474590 37171720355 44606064426 74343440710 111515161065 223030322130