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230400234433110 = 23577133146684991
BaseRepresentation
bin110100011000110000111100…
…001000010010101001010110
31010012210001021111000121211010
4310120300330020102221112
5220144334140003324420
62134004223445353050
766346603410403350
oct6430607410225126
91105701244017733
10230400234433110
116745a2108a7875
1221a11138408786
139b7385878b481
1440c760635a0d0
151b9838b11d4e0
hexd18c3c212a56

230400234433110 has 128 divisors (see below), whose sum is σ = 642791836090368. Its totient is φ = 51764316912000.

The previous prime is 230400234433043. The next prime is 230400234433147. The reversal of 230400234433110 is 11334432004032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18407286 + ... + 28277705.

It is an arithmetic number, because the mean of its divisors is an integer number (5021811219456).

Almost surely, 2230400234433110 is an apocalyptic number.

230400234433110 is an abundant number, since it is smaller than the sum of its proper divisors (412391601657258).

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

230400234433110 is a wasteful number, since it uses less digits than its factorization.

230400234433110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46685410.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 230400234433110 its reverse (11334432004032), we get a palindrome (241734666437142).

The spelling of 230400234433110 in words is "two hundred thirty trillion, four hundred billion, two hundred thirty-four million, four hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 331 355 426 497 662 710 993 994 1065 1491 1655 1986 2130 2317 2485 2982 3310 4634 4965 4970 6951 7455 9930 11585 13902 14910 23170 23501 34755 47002 69510 70503 117505 141006 164507 235010 329014 352515 493521 705030 822535 987042 1645070 2467605 4935210 46684991 93369982 140054973 233424955 280109946 326794937 466849910 653589874 700274865 980384811 1400549730 1633974685 1960769622 3267949370 3314634361 4901924055 6629268722 9803848110 9943903083 15452732021 16573171805 19887806166 23202440527 30905464042 33146343610 46358196063 46404881054 49719515415 69607321581 77263660105 92716392126 99439030830 108169124147 116012202635 139214643162 154527320210 216338248294 231790980315 232024405270 324507372441 348036607905 463581960630 540845620735 649014744882 696073215810 1081691241470 1097143973491 1622536862205 2194287946982 3245073724410 3291431920473 5485719867455 6582863840946 7680007814437 10971439734910 15360015628874 16457159602365 23040023443311 32914319204730 38400039072185 46080046886622 76800078144370 115200117216555 230400234433110