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230224222134 = 23317256326203
BaseRepresentation
bin1101011001101001101…
…1101101011110110110
3211000020201111020211000
43112122123231132312
512232444400102014
6253432532024130
722430112412464
oct3263233553666
9730221436730
10230224222134
1189701631685
1238751762046
131892cc9c69a
14b200215834
155ec6ade509
hex359a6ed7b6

230224222134 has 96 divisors (see below), whose sum is σ = 544460423040. Its totient is φ = 72096165504.

The previous prime is 230224222127. The next prime is 230224222159. The reversal of 230224222134 is 431222422032.

230224222134 is a `hidden beast` number, since 2 + 3 + 0 + 22 + 422 + 213 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230224222098 and 230224222107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8773077 + ... + 8799279.

It is an arithmetic number, because the mean of its divisors is an integer number (5671462740).

Almost surely, 2230224222134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230224222134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272230211520).

230224222134 is an abundant number, since it is smaller than the sum of its proper divisors (314236200906).

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

230224222134 is a wasteful number, since it uses less digits than its factorization.

230224222134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26811 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230224222134 its reverse (431222422032), we get a palindrome (661446644166).

The spelling of 230224222134 in words is "two hundred thirty billion, two hundred twenty-four million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 563 578 867 918 1126 1689 1734 2601 3378 5067 5202 7803 9571 10134 15201 15606 19142 26203 28713 30402 52406 57426 78609 86139 157218 162707 172278 235827 258417 325414 445451 471654 488121 516834 707481 890902 976242 1336353 1414962 1464363 2672706 2928726 4009059 4393089 7572667 8018118 8786178 12027177 14752289 15145334 22718001 24054354 29504578 44256867 45436002 68154003 88513734 132770601 136308006 204462009 250788913 265541202 398311803 408924018 501577826 752366739 796623606 1504733478 2257100217 4263411521 4514200434 6771300651 8526823042 12790234563 13542601302 25580469126 38370703689 76741407378 115112111067 230224222134