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230603472 = 243211197739
BaseRepresentation
bin11011011111010…
…11101011010000
3121001220212111100
431233223223100
5433013302342
634514344400
75500045221
oct1557535320
9531825440
10230603472
11109195890
126528b100
1338a10b78
14228ab248
15153a1e4c
hexdbebad0

230603472 has 120 divisors (see below), whose sum is σ = 708570720. Its totient is φ = 69431040.

The previous prime is 230603467. The next prime is 230603473. The reversal of 230603472 is 274306032.

It is a super-2 number, since 2×2306034722 = 106355922596909568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230603473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311679 + ... + 312417.

It is an arithmetic number, because the mean of its divisors is an integer number (5904756).

Almost surely, 2230603472 is an apocalyptic number.

230603472 is a gapful number since it is divisible by the number (22) 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 230603472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354285360).

230603472 is an abundant number, since it is smaller than the sum of its proper divisors (477967248).

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

230603472 is a wasteful number, since it uses less digits than its factorization.

230603472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 230603472 is about 15185.6337371873. The cubic root of 230603472 is about 613.2279586876.

The spelling of 230603472 in words is "two hundred thirty million, six hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 197 198 264 394 396 528 591 739 788 792 1182 1478 1576 1584 1773 2167 2217 2364 2956 3152 3546 4334 4434 4728 5912 6501 6651 7092 8129 8668 8868 9456 11824 13002 13302 14184 16258 17336 17736 19503 24387 26004 26604 28368 32516 34672 35472 39006 48774 52008 53208 65032 73161 78012 97548 104016 106416 130064 145583 146322 156024 195096 291166 292644 312048 390192 436749 582332 585288 873498 1164664 1170576 1310247 1601413 1746996 2329328 2620494 3202826 3493992 4804239 5240988 6405652 6987984 9608478 10481976 12811304 14412717 19216956 20963952 25622608 28825434 38433912 57650868 76867824 115301736 230603472