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230043120 = 24354322291
BaseRepresentation
bin11011011011000…
…10110111110000
3121000212101211120
431231202313300
5432342334440
634454342240
75462222436
oct1555426760
9530771746
10230043120
1110894288a
126505a980
1338875ab8
14227a2d56
15152e0dd0
hexdb62df0

230043120 has 80 divisors (see below), whose sum is σ = 729750912. Its totient is φ = 59915520.

The previous prime is 230043113. The next prime is 230043137. The reversal of 230043120 is 21340032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230043120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826 + ... + 21465.

Almost surely, 2230043120 is an apocalyptic number.

230043120 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 230043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364875456).

230043120 is an abundant number, since it is smaller than the sum of its proper divisors (499707792).

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

230043120 is a wasteful number, since it uses less digits than its factorization.

230043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230043120 is about 15167.1724457791. The cubic root of 230043120 is about 612.7308539760.

Adding to 230043120 its reverse (21340032), we get a palindrome (251383152).

The spelling of 230043120 in words is "two hundred thirty million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 22291 44582 66873 89164 111455 133746 178328 222910 267492 334365 356656 445820 534984 668730 891640 958513 1069968 1337460 1783280 1917026 2674920 2875539 3834052 4792565 5349840 5751078 7668104 9585130 11502156 14377695 15336208 19170260 23004312 28755390 38340520 46008624 57510780 76681040 115021560 230043120