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30227035904 = 2813103109809
BaseRepresentation
bin11100001001101010…
…111111011100000000
32220000120111112002022
4130021222333130000
5443401110122104
621515222141012
72120024365052
oct341152773400
986016445068
1030227035904
111190141250a
125a36b81768
132b09427180
14166a6678d2
15bbda23bbe
hex709abf700

30227035904 has 144 divisors (see below), whose sum is σ = 66291825600. Its totient is φ = 13671825408.

The previous prime is 30227035903. The next prime is 30227035961. The reversal of 30227035904 is 40953072203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30227035903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37363052 + ... + 37363860.

It is an arithmetic number, because the mean of its divisors is an integer number (460359900).

Almost surely, 230227035904 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 30227035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33145912800).

30227035904 is an abundant number, since it is smaller than the sum of its proper divisors (36064789696).

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

30227035904 is a wasteful number, since it uses less digits than its factorization.

30227035904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 30227035904 in words is "thirty billion, two hundred twenty-seven million, thirty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 109 128 206 208 218 256 412 416 436 809 824 832 872 1339 1417 1618 1648 1664 1744 2678 2834 3236 3296 3328 3488 5356 5668 6472 6592 6976 10517 10712 11227 11336 12944 13184 13952 21034 21424 22454 22672 25888 26368 27904 42068 42848 44908 45344 51776 83327 84136 85696 88181 89816 90688 103552 145951 166654 168272 171392 176362 179632 181376 207104 291902 333308 336544 342784 352724 359264 362752 583804 666616 673088 705448 718528 1083251 1146353 1167608 1333232 1346176 1410896 1437056 2166502 2292706 2335216 2666464 2692352 2821792 2874112 4333004 4585412 4670432 5332928 5643584 8666008 9082643 9170824 9340864 10665856 11287168 17332016 18165286 18341648 18681728 21331712 22574336 34664032 36330572 36683296 37363456 69328064 72661144 73366592 118074359 138656128 145322288 146733184 236148718 277312256 290644576 293466368 472297436 581289152 944594872 1162578304 1889189744 2325156608 3778379488 7556758976 15113517952 30227035904