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230800644 = 223341471109
BaseRepresentation
bin11011100000110…
…11110100000100
3121002021212222000
431300123310010
5433041110034
634522505300
75501526114
oct1560336404
9532255860
10230800644
1110930aa38
1265365230
1338a7c839
142291d044
15153e0599
hexdc1bd04

230800644 has 96 divisors (see below), whose sum is σ = 626572800. Its totient is φ = 73393920.

The previous prime is 230800643. The next prime is 230800663. The reversal of 230800644 is 446008032.

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

It is not an unprimeable number, because it can be changed into a prime (230800643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207562 + ... + 208670.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2230800644 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 230800644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313286400).

230800644 is an abundant number, since it is smaller than the sum of its proper divisors (395772156).

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

230800644 is a wasteful number, since it uses less digits than its factorization.

230800644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230800644 is about 15192.1244070736. The cubic root of 230800644 is about 613.4026842133.

Adding to 230800644 its reverse (446008032), we get a palindrome (676808676).

The spelling of 230800644 in words is "two hundred thirty million, eight hundred thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 54 82 94 108 123 141 164 188 246 282 369 423 492 564 738 846 1107 1109 1269 1476 1692 1927 2214 2218 2538 3327 3854 4428 4436 5076 5781 6654 7708 9981 11562 13308 17343 19962 23124 29943 34686 39924 45469 52029 52123 59886 69372 90938 104058 104246 119772 136407 156369 181876 208116 208492 272814 312738 409221 469107 545628 625476 818442 938214 1227663 1407321 1636884 1876428 2137043 2455326 2814642 4274086 4910652 5629284 6411129 8548172 12822258 19233387 25644516 38466774 57700161 76933548 115400322 230800644