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230224848 = 243723313
BaseRepresentation
bin11011011100011…
…11001111010000
3121001012122010020
431232033033100
5432414143343
634502303440
75463610320
oct1556171720
9531178106
10230224848
11108a57377
1265127b80
133890a729
142280d280
1515329b83
hexdb8f3d0

230224848 has 160 divisors (see below), whose sum is σ = 732905472. Its totient is φ = 60888960.

The previous prime is 230224831. The next prime is 230224853. The reversal of 230224848 is 848422032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426593 + ... + 7426623.

Almost surely, 2230224848 is an apocalyptic number.

230224848 is a gapful number since it is divisible by the number (28) 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 230224848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366452736).

230224848 is an abundant number, since it is smaller than the sum of its proper divisors (502680624).

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

230224848 is an equidigital number, since it uses as much as digits as its factorization.

230224848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 230224848 is about 15173.1620962804. The cubic root of 230224848 is about 612.8921585816.

The spelling of 230224848 in words is "two hundred thirty million, two hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 961 966 1104 1288 1302 1426 1488 1736 1922 1932 2139 2576 2604 2852 2883 3472 3844 3864 4278 4991 5208 5704 5766 6727 7688 7728 8556 9982 10416 11408 11532 13454 14973 15376 17112 19964 20181 22103 23064 26908 29791 29946 34224 39928 40362 44206 46128 53816 59582 59892 66309 79856 80724 88412 89373 107632 119164 119784 132618 154721 161448 176824 178746 208537 238328 239568 265236 309442 322896 353648 357492 417074 464163 476656 530472 618884 625611 685193 714984 834148 928326 1060944 1237768 1251222 1370386 1429968 1668296 1856652 2055579 2475536 2502444 2740772 3336592 3713304 4111158 4796351 5004888 5481544 7426608 8222316 9592702 10009776 10963088 14389053 16444632 19185404 28778106 32889264 38370808 57556212 76741616 115112424 230224848