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223130020302 = 23371679533709
BaseRepresentation
bin1100111111001110010…
…1011110100111001110
3210022221022111110102000
43033303211132213032
512123432241122202
6250300550413130
722056240610350
oct3176345364716
9708838443360
10223130020302
11866a1096862
12372b19611a6
131806c303117
14ab29d770d0
155c0ddb891c
hex33f395e9ce

223130020302 has 128 divisors (see below), whose sum is σ = 570824755200. Its totient is φ = 63286126848.

The previous prime is 223130020271. The next prime is 223130020307. The reversal of 223130020302 is 203020031322.

It is a happy number.

223130020302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231300203023 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223130020307) 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, 60157224 + ... + 60160932.

It is an arithmetic number, because the mean of its divisors is an integer number (4459568400).

Almost surely, 2223130020302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223130020302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285412377600).

223130020302 is an abundant number, since it is smaller than the sum of its proper divisors (347694734898).

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

223130020302 is a wasteful number, since it uses less digits than its factorization.

223130020302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223130020302 its reverse (203020031322), we get a palindrome (426150051624).

The spelling of 223130020302 in words is "two hundred twenty-three billion, one hundred thirty million, twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 167 189 334 378 501 953 1002 1169 1503 1906 2338 2859 3006 3507 3709 4509 5718 6671 7014 7418 8577 9018 10521 11127 13342 17154 20013 21042 22254 25731 25963 31563 33381 40026 51462 51926 60039 63126 66762 77889 100143 120078 155778 159151 180117 200286 233667 318302 360234 467334 477453 619403 701001 954906 1114057 1238806 1402002 1432359 1858209 2228114 2864718 3342171 3534677 3716418 4297077 4335821 5574627 6684342 7069354 8594154 8671642 10026513 10604031 11149254 13007463 16723881 20053026 21208062 24742739 26014926 30079539 31812093 33447762 39022389 49485478 60159078 63624186 74228217 78044778 95436279 117067167 148456434 190872558 222684651 234134334 445369302 590291059 668053953 1180582118 1336107906 1770873177 3541746354 4132037413 5312619531 8264074826 10625239062 12396112239 15937858593 24792224478 31875717186 37188336717 74376673434 111565010151 223130020302