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230098683366 = 23772532
BaseRepresentation
bin1101011001001011110…
…0110100010111100110
3210222220222021020000000
43112102330310113212
512232220230331431
6253412245202130
722424026352316
oct3262274642746
9728828236000
10230098683366
1189647787532
1238717700346
131890cc866a6
14b1cb697446
155ebaa929e6
hex3592f345e6

230098683366 has 48 divisors (see below), whose sum is σ = 517714507920. Its totient is φ = 76688986248.

The previous prime is 230098683299. The next prime is 230098683377. The reversal of 230098683366 is 663386890032.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31720996 + ... + 31728248.

It is an arithmetic number, because the mean of its divisors is an integer number (10785718915).

Almost surely, 2230098683366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230098683366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258857253960).

230098683366 is an abundant number, since it is smaller than the sum of its proper divisors (287615824554).

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

230098683366 is an frugal number, since it uses more digits than its factorization.

230098683366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

Multiplying 230098683366 by its sum of digits (54), we get a square (12425328901764 = 35249582).

230098683366 divided by its sum of digits (54) gives a square (4261086729 = 652772).

The spelling of 230098683366 in words is "two hundred thirty billion, ninety-eight million, six hundred eighty-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 7253 14506 21759 43518 65277 130554 195831 391662 587493 1174986 1762479 3524958 5287437 10574874 15862311 31724622 52606009 105212018 157818027 315636054 473454081 946908162 1420362243 2840724486 4261086729 8522173458 12783260187 25566520374 38349780561 76699561122 115049341683 230098683366