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230262366456 = 233253389155119
BaseRepresentation
bin1101011001110010110…
…1001110000011111000
3211000100101021011222200
43112130231032003320
512233034131211311
6253440413350200
722431054551433
oct3263455160370
9730311234880
10230262366456
1189721115011
1238762498360
1318937b666a5
14b20530481a
155eca126556
hex359cb4e0f8

230262366456 has 96 divisors (see below), whose sum is σ = 637031304000. Its totient is φ = 75111858432.

The previous prime is 230262366419. The next prime is 230262366493. The reversal of 230262366456 is 654663262032.

230262366456 is a `hidden beast` number, since 2 + 302 + 6 + 236 + 64 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (230262366419) and next prime (230262366493).

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, 1406865 + ... + 1561983.

It is an arithmetic number, because the mean of its divisors is an integer number (6635742750).

Almost surely, 2230262366456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230262366456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318515652000).

230262366456 is an abundant number, since it is smaller than the sum of its proper divisors (406768937544).

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

230262366456 is a wasteful number, since it uses less digits than its factorization.

230262366456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155573 (or 155566 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 230262366456 in words is "two hundred thirty billion, two hundred sixty-two million, three hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 389 424 477 636 778 954 1167 1272 1556 1908 2334 3112 3501 3816 4668 7002 9336 14004 20617 28008 41234 61851 82468 123702 155119 164936 185553 247404 310238 371106 465357 494808 620476 742212 930714 1240952 1396071 1484424 1861428 2792142 3722856 5584284 8221307 11168568 16442614 24663921 32885228 49327842 60341291 65770456 73991763 98655684 120682582 147983526 181023873 197311368 241365164 295967052 362047746 482730328 543071619 591934104 724095492 1086143238 1448190984 2172286476 3198088423 4344572952 6396176846 9594265269 12792353692 19188530538 25584707384 28782795807 38377061076 57565591614 76754122152 115131183228 230262366456