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230661652400 = 24522314324917
BaseRepresentation
bin1101011011010010000…
…0010111111110110000
3211001101012121000022222
43112310200113332300
512234343340334100
6253544155420212
722444003460414
oct3266440277660
9731335530288
10230661652400
11899065424a3
1238854154668
131899c7b7c6a
14b242360d44
1560001e8485
hex35b4817fb0

230661652400 has 60 divisors (see below), whose sum is σ = 554210806512. Its totient is φ = 92256971520.

The previous prime is 230661652391. The next prime is 230661652409. The reversal of 230661652400 is 4256166032.

It is a happy number.

230661652400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230661652391) and next prime (230661652409).

It is not an unprimeable number, because it can be changed into a prime (230661652409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9244742 + ... + 9269658.

Almost surely, 2230661652400 is an apocalyptic number.

230661652400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230661652400 is an abundant number, since it is smaller than the sum of its proper divisors (323549154112).

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

230661652400 is a wasteful number, since it uses less digits than its factorization.

230661652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48078 (or 48067 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 230661652400 in words is "two hundred thirty billion, six hundred sixty-one million, six hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 23143 24917 46286 49834 92572 99668 115715 124585 185144 199336 231430 249170 370288 398672 462860 498340 578575 622925 925720 996680 1157150 1245850 1851440 1993360 2314300 2491700 4628600 4983400 9257200 9966800 576654131 1153308262 2306616524 2883270655 4613233048 5766541310 9226466096 11533082620 14416353275 23066165240 28832706550 46132330480 57665413100 115330826200 230661652400