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230122240 = 2853743113
BaseRepresentation
bin11011011011101…
…10001100000000
3121001000102100221
431231312030000
5432402402430
634500152424
75463002215
oct1555661400
9531012327
10230122240
11108997277
1265098714
13388a2b0a
14227c3b0c
151530957a
hexdb76300

230122240 has 144 divisors (see below), whose sum is σ = 584404128. Its totient is φ = 86704128.

The previous prime is 230122229. The next prime is 230122247. The reversal of 230122240 is 42221032.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230122247) 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 15 ways as a sum of consecutive naturals, for example, 2036424 + ... + 2036536.

It is an arithmetic number, because the mean of its divisors is an integer number (4058362).

Almost surely, 2230122240 is an apocalyptic number.

230122240 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 230122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292202064).

230122240 is an abundant number, since it is smaller than the sum of its proper divisors (354281888).

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

230122240 is a wasteful number, since it uses less digits than its factorization.

230122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

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

The square root of 230122240 is about 15169.7804862167. The cubic root of 230122240 is about 612.8010925590.

Adding to 230122240 its reverse (42221032), we get a palindrome (272343272).

It can be divided in two parts, 23012 and 2240, that added together give a palindrome (25252).

The spelling of 230122240 in words is "two hundred thirty million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 74 80 86 113 128 148 160 172 185 215 226 256 296 320 344 370 430 452 565 592 640 688 740 860 904 1130 1184 1280 1376 1480 1591 1720 1808 2260 2368 2752 2960 3182 3440 3616 4181 4520 4736 4859 5504 5920 6364 6880 7232 7955 8362 9040 9472 9718 11008 11840 12728 13760 14464 15910 16724 18080 19436 20905 23680 24295 25456 27520 28928 31820 33448 36160 38872 41810 47360 48590 50912 55040 63640 66896 72320 77744 83620 97180 101824 127280 133792 144640 155488 167240 179783 194360 203648 254560 267584 310976 334480 359566 388720 407296 509120 535168 621952 668960 719132 777440 898915 1018240 1070336 1243904 1337920 1438264 1554880 1797830 2036480 2675840 2876528 3109760 3595660 5351680 5753056 6219520 7191320 11506112 14382640 23012224 28765280 46024448 57530560 115061120 230122240