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230245440 = 2635373643
BaseRepresentation
bin11011011100101…
…00010001000000
3121001020200100220
431232110101000
5432420323230
634502543040
75464024335
oct1556242100
9531220326
10230245440
11108a70897
1265137a80
1338916c09
142281698c
1515330d10
hexdb94440

230245440 has 112 divisors (see below), whose sum is σ = 734129088. Its totient is φ = 61138944.

The previous prime is 230245391. The next prime is 230245441. The reversal of 230245440 is 44542032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 230245440.

It is not an unprimeable number, because it can be changed into a prime (230245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357759 + ... + 358401.

It is an arithmetic number, because the mean of its divisors is an integer number (6554724).

Almost surely, 2230245440 is an apocalyptic number.

230245440 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 230245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367064544).

230245440 is an abundant number, since it is smaller than the sum of its proper divisors (503883648).

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

230245440 is a wasteful number, since it uses less digits than its factorization.

230245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 230245440 is about 15173.8406476409. The cubic root of 230245440 is about 612.9104310069.

Adding to 230245440 its reverse (44542032), we get a palindrome (274787472).

The spelling of 230245440 in words is "two hundred thirty million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 373 480 643 746 960 1119 1286 1492 1865 1929 2238 2572 2984 3215 3730 3858 4476 5144 5595 5968 6430 7460 7716 8952 9645 10288 11190 11936 12860 14920 15432 17904 19290 20576 22380 23872 25720 29840 30864 35808 38580 41152 44760 51440 59680 61728 71616 77160 89520 102880 119360 123456 154320 179040 205760 239839 308640 358080 479678 617280 719517 959356 1199195 1439034 1918712 2398390 2878068 3597585 3837424 4796780 5756136 7195170 7674848 9593560 11512272 14390340 15349696 19187120 23024544 28780680 38374240 46049088 57561360 76748480 115122720 230245440