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230297108418 = 2361397125261
BaseRepresentation
bin1101011001111011000…
…1101111111111000010
3211000102210122021000000
43112132301233333002
512233122024432133
6253444054140430
722431656060106
oct3263661577702
9730383567000
10230297108418
1189739794183
1238772051716
131894210bb70
14b209b89906
155ecd1da413
hex359ec6ffc2

230297108418 has 112 divisors (see below), whose sum is σ = 563527182456. Its totient is φ = 70129566720.

The previous prime is 230297108407. The next prime is 230297108423. The reversal of 230297108418 is 814801792032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82700530929 + 147596577489 = 287577^2 + 384183^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1775908 + ... + 1901168.

Almost surely, 2230297108418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230297108418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281763591228).

230297108418 is an abundant number, since it is smaller than the sum of its proper divisors (333230074038).

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

230297108418 is a wasteful number, since it uses less digits than its factorization.

230297108418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125391 (or 125376 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 230297108418 in words is "two hundred thirty billion, two hundred ninety-seven million, one hundred eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 97 117 162 194 234 243 291 351 486 582 702 729 873 1053 1261 1458 1746 2106 2522 2619 3159 3783 5238 6318 7566 7857 9477 11349 15714 18954 22698 23571 34047 47142 68094 70713 102141 125261 141426 204282 250522 306423 375783 612846 751566 919269 1127349 1628393 1838538 2254698 3256786 3382047 4885179 6764094 9770358 10146141 12150317 14655537 20292282 24300634 29311074 30438423 36450951 43966611 60876846 72901902 87933222 91315269 109352853 131899833 157954121 182630538 218705706 263799666 315908242 328058559 395699499 473862363 656117118 791398998 947724726 984175677 1187098497 1421587089 1968351354 2374196994 2843174178 2952527031 4264761267 5905054062 8529522534 8857581093 12794283801 17715162186 25588567602 38382851403 76765702806 115148554209 230297108418