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230021440 = 26511101647
BaseRepresentation
bin11011011010111…
…01100101000000
3121000211022002121
431231131211000
5432341141230
634454054024
75462102305
oct1555354500
9530738077
10230021440
11108928570
126504a314
1338868c7c
14227990ac
15152d977a
hexdb5d940

230021440 has 112 divisors (see below), whose sum is σ = 604381824. Its totient is φ = 82688000.

The previous prime is 230021437. The next prime is 230021443. The reversal of 230021440 is 44120032.

230021440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230021437) and next prime (230021443).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230021443) 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, 355197 + ... + 355843.

Almost surely, 2230021440 is an apocalyptic number.

230021440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302190912).

230021440 is an abundant number, since it is smaller than the sum of its proper divisors (374360384).

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

230021440 is a wasteful number, since it uses less digits than its factorization.

230021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 230021440 is about 15166.4577274985. The cubic root of 230021440 is about 612.7116047989.

Adding to 230021440 its reverse (44120032), we get a palindrome (274141472).

It can be divided in two parts, 23002 and 1440, that added together give a palindrome (24442).

The spelling of 230021440 in words is "two hundred thirty million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 647 704 808 880 1010 1111 1294 1616 1760 2020 2222 2588 3232 3235 3520 4040 4444 5176 5555 6464 6470 7117 8080 8888 10352 11110 12940 14234 16160 17776 20704 22220 25880 28468 32320 35552 35585 41408 44440 51760 56936 65347 71104 71170 88880 103520 113872 130694 142340 177760 207040 227744 261388 284680 326735 355520 455488 522776 569360 653470 718817 1045552 1138720 1306940 1437634 2091104 2277440 2613880 2875268 3594085 4182208 5227760 5750536 7188170 10455520 11501072 14376340 20911040 23002144 28752680 46004288 57505360 115010720 230021440