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230132323332 = 223267237140241
BaseRepresentation
bin1101011001010011110…
…1001001010000000100
3211000000022120022100200
43112110331021100010
512232302333321312
6253415450210500
722424615321112
oct3262475112004
9730008508320
10230132323332
118966477375a
1238726a23a30
1318916c343b2
14b1d1d32ab2
155ebd9da0dc
hex3594f49404

230132323332 has 72 divisors (see below), whose sum is σ = 590669500512. Its totient is φ = 75532089600.

The previous prime is 230132323331. The next prime is 230132323357. The reversal of 230132323332 is 233323231032.

230132323332 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 2 + 323 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230132323296 and 230132323305.

It is not an unprimeable number, because it can be changed into a prime (230132323331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5698732 + ... + 5738972.

Almost surely, 2230132323332 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 230132323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295334750256).

230132323332 is an abundant number, since it is smaller than the sum of its proper divisors (360537177180).

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

230132323332 is a wasteful number, since it uses less digits than its factorization.

230132323332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42689 (or 42684 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 230132323332 its reverse (233323231032), we get a palindrome (463455554364).

The spelling of 230132323332 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2371 2412 4742 7113 9484 14226 21339 28452 40241 42678 80482 85356 120723 158857 160964 241446 317714 362169 476571 482892 635428 724338 953142 1429713 1448676 1906284 2696147 2859426 5392294 5718852 8088441 10784588 16176882 24265323 32353764 48530646 95411411 97061292 190822822 286234233 381645644 572468466 858702699 1144936932 1717405398 3434810796 6392564537 12785129074 19177693611 25570258148 38355387222 57533080833 76710774444 115066161666 230132323332