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230189389056 = 2833113027533
BaseRepresentation
bin1101011001100001011…
…0110101010100000000
3211000011021221112211000
43112120112311110000
512232411440422211
6253425245252000
722426210344354
oct3263026652400
9730137845730
10230189389056
1189693a00010
1238741b64000
13189259c48b3
14b1d9749464
155ec3a0d656
hex35985b5500

230189389056 has 144 divisors (see below), whose sum is σ = 742593539520. Its totient is φ = 69754337280.

The previous prime is 230189389051. The next prime is 230189389091. The reversal of 230189389056 is 650983981032.

230189389056 is a `hidden beast` number, since 2 + 30 + 189 + 389 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2301893890562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 230189388993 and 230189389011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230189389051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437735 + ... + 1589798.

It is an arithmetic number, because the mean of its divisors is an integer number (5156899580).

Almost surely, 2230189389056 is an apocalyptic number.

It is an amenable number.

230189389056 is an abundant number, since it is smaller than the sum of its proper divisors (512404150464).

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

230189389056 is a wasteful number, since it uses less digits than its factorization.

230189389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027569 (or 3027549 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 230189389056 in words is "two hundred thirty billion, one hundred eighty-nine million, three hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 3027533 6055066 9082599 12110132 18165198 24220264 27247797 33302863 36330396 48440528 54495594 66605726 72660792 81743391 96881056 99908589 108991188 133211452 145321584 163486782 193762112 199817178 217982376 266422904 290643168 299725767 326973564 387524224 399634356 435964752 532845808 581286336 599451534 653947128 775048448 799268712 871929504 899177301 1065691616 1162572672 1198903068 1307894256 1598537424 1743859008 1798354602 2131383232 2325145344 2397806136 2615788512 3197074848 3487718016 3596709204 4262766464 4795612272 5231577024 6394149696 6975436032 7193418408 8525532928 9591224544 10463154048 12788299392 14386836816 19182449088 20926308096 25576598784 28773673632 38364898176 57547347264 76729796352 115094694528 230189389056