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230151744 = 2632463863
BaseRepresentation
bin11011011011111…
…01011001000000
3121001001220211200
431231331121000
5432404323434
634500541200
75463154224
oct1555753100
9531056750
10230151744
11108a07459
12650b1800
13388b3384
14227d0784
1515313199
hexdb7d640

230151744 has 84 divisors (see below), whose sum is σ = 661879296. Its totient is φ = 76462848.

The previous prime is 230151739. The next prime is 230151773. The reversal of 230151744 is 447151032.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266257 + ... + 267119.

Almost surely, 2230151744 is an apocalyptic number.

230151744 is a gapful number since it is divisible by the number (24) 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 230151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330939648).

230151744 is an abundant number, since it is smaller than the sum of its proper divisors (431727552).

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

230151744 is a wasteful number, since it uses less digits than its factorization.

230151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 230151744 is about 15170.7529147370. The cubic root of 230151744 is about 612.8272805403.

It can be divided in two parts, 2301 and 51744, that added together give a palindrome (54045).

The spelling of 230151744 in words is "two hundred thirty million, one hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 463 576 863 926 1389 1726 1852 2589 2778 3452 3704 4167 5178 5556 6904 7408 7767 8334 10356 11112 13808 14816 15534 16668 20712 22224 27616 29632 31068 33336 41424 44448 55232 62136 66672 82848 88896 124272 133344 165696 248544 266688 399569 497088 799138 1198707 1598276 2397414 3196552 3596121 4794828 6393104 7192242 9589656 12786208 14384484 19179312 25572416 28768968 38358624 57537936 76717248 115075872 230151744