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230344476076 = 2211213157251929
BaseRepresentation
bin1101011010000110011…
…0011100010110101100
3211000120002202210012201
43112201212130112230
512233221141213301
6253452505311244
722433102512201
oct3264146342654
9730502683181
10230344476076
11897634a7200
1238785a95524
131894bb85070
14b212199ca8
155ed2445201
hex35a199c5ac

230344476076 has 144 divisors (see below), whose sum is σ = 482634421920. Its totient is φ = 95546880000.

The previous prime is 230344476067. The next prime is 230344476113. The reversal of 230344476076 is 670674443032.

230344476076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 247948380 + ... + 247949308.

It is an arithmetic number, because the mean of its divisors is an integer number (3351627930).

Almost surely, 2230344476076 is an apocalyptic number.

230344476076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

230344476076 is an abundant number, since it is smaller than the sum of its proper divisors (252289945844).

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

230344476076 is a wasteful number, since it uses less digits than its factorization.

230344476076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 46.

The spelling of 230344476076 in words is "two hundred thirty billion, three hundred forty-four million, four hundred seventy-six thousand, seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 157 242 251 286 314 484 502 572 628 929 1004 1573 1727 1858 2041 2761 3146 3263 3454 3716 4082 5522 6292 6526 6908 8164 10219 11044 12077 13052 18997 20438 22451 24154 30371 35893 37994 39407 40876 44902 48308 60742 71786 75988 78814 89804 112409 121484 132847 143572 145853 157628 224818 233179 246961 265694 291706 394823 433477 449636 466358 493922 512291 531388 583412 789646 866954 932716 987844 1024582 1461317 1579292 1604383 1733908 1896089 2049164 2564969 2922634 3031327 3208766 3792178 4768247 5129938 5635201 5845268 6062654 6417532 7584356 9536494 10259876 11270402 12125308 17648213 19072988 20856979 22540804 28214659 33344597 35296426 36609103 41713958 56429318 61987211 66689194 70592852 73218206 83427916 112858636 123974422 133378388 146436412 229426769 247948844 366790567 402700133 458853538 475918339 733581134 805400266 917707076 951836678 1467162268 1610800532 1903673356 4429701463 5235101729 8859402926 10470203458 17718805852 20940406916 57586119019 115172238038 230344476076