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230203644 = 2231131101557
BaseRepresentation
bin11011011100010…
…10000011111100
3121001011120000220
431232022003330
5432413004034
634502021340
75463461436
oct1556120374
9531146026
10230203644
11108a42450
1265117850
1338900b98
1422805656
1515323749
hexdb8a0fc

230203644 has 96 divisors (see below), whose sum is σ = 611960832. Its totient is φ = 66720000.

The previous prime is 230203609. The next prime is 230203657. The reversal of 230203644 is 446302032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413014 + ... + 413570.

It is an arithmetic number, because the mean of its divisors is an integer number (6374592).

Almost surely, 2230203644 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 230203644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305980416).

230203644 is an abundant number, since it is smaller than the sum of its proper divisors (381757188).

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

230203644 is a wasteful number, since it uses less digits than its factorization.

230203644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 230203644 is about 15172.4633464708. The cubic root of 230203644 is about 612.8733419559.

Adding to 230203644 its reverse (446302032), we get a palindrome (676505676).

The spelling of 230203644 in words is "two hundred thirty million, two hundred three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 124 132 186 202 303 341 372 404 557 606 682 1023 1111 1114 1212 1364 1671 2046 2222 2228 3131 3333 3342 4092 4444 6127 6262 6666 6684 9393 12254 12524 13332 17267 18381 18786 24508 34441 34534 36762 37572 51801 56257 68882 69068 73524 103323 103602 112514 137764 168771 189937 206646 207204 225028 337542 379874 413292 569811 618827 675084 759748 1139622 1237654 1743967 1856481 2279244 2475308 3487934 3712962 5231901 6975868 7425924 10463802 19183637 20927604 38367274 57550911 76734548 115101822 230203644