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230435156205 = 3352374214221
BaseRepresentation
bin1101011010011100000…
…0010111000011101101
3211000210102101210222000
43112213000113003231
512233412344444310
6253505505042513
722435253336562
oct3264700270355
9730712353860
10230435156205
11897aa702561
12387b0326439
13189648b4747
14b220242869
155eda3a84c0
hex35a70170ed

230435156205 has 32 divisors (see below), whose sum is σ = 427473918720. Its totient is φ = 117555324480.

The previous prime is 230435156177. The next prime is 230435156209. The reversal of 230435156205 is 502651534032.

230435156205 is a `hidden beast` number, since 2 + 3 + 0 + 43 + 51 + 562 + 0 + 5 = 666.

230435156205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230435156205 - 25 = 230435156173 is a prime.

It is a super-2 number, since 2×2304351562052 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 230435156205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230435156209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37104006 + ... + 37110215.

It is an arithmetic number, because the mean of its divisors is an integer number (13358559960).

Almost surely, 2230435156205 is an apocalyptic number.

It is an amenable number.

230435156205 is a deficient number, since it is larger than the sum of its proper divisors (197038762515).

230435156205 is a wasteful number, since it uses less digits than its factorization.

230435156205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74214258 (or 74214252 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 230435156205 in words is "two hundred thirty billion, four hundred thirty-five million, one hundred fifty-six thousand, two hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 74214221 222642663 371071105 667927989 1113213315 1706927083 2003783967 3339639945 5120781249 8534635415 10018919835 15362343747 25603906245 46087031241 76811718735 230435156205