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230267040 = 25351728219
BaseRepresentation
bin11011011100110…
…01100010100000
3121001021202222220
431232121202200
5432422021130
634503231040
75464144323
oct1556314240
9531252886
10230267040
11108a86043
1265148480
13389239b3
14228207ba
1515337410
hexdb998a0

230267040 has 96 divisors (see below), whose sum is σ = 768035520. Its totient is φ = 57790464.

The previous prime is 230267017. The next prime is 230267069. The reversal of 230267040 is 40762032.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230267040.

It is an unprimeable number.

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, 5950 + ... + 22269.

It is an arithmetic number, because the mean of its divisors is an integer number (8000370).

Almost surely, 2230267040 is an apocalyptic number.

230267040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230267040 is an abundant number, since it is smaller than the sum of its proper divisors (537768480).

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

230267040 is a wasteful number, since it uses less digits than its factorization.

230267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 230267040 is about 15174.5523821957. The cubic root of 230267040 is about 612.9295967160.

The spelling of 230267040 in words is "two hundred thirty million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 28219 56438 84657 112876 141095 169314 225752 282190 338628 423285 451504 479723 564380 677256 846570 903008 959446 1128760 1354512 1439169 1693140 1918892 2257520 2398615 2709024 2878338 3386280 3837784 4515040 4797230 5756676 6772560 7195845 7675568 9594460 11513352 13545120 14391690 15351136 19188920 23026704 28783380 38377840 46053408 57566760 76755680 115133520 230267040