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230369370 = 235711313217
BaseRepresentation
bin11011011101100…
…10100001011010
3121001110222100220
431232302201122
5432433304440
634505340510
75465051550
oct1556624132
9531428326
10230369370
11109045a10
1265197736
133895b44a
1422849bd0
15153578d0
hexdbb285a

230369370 has 128 divisors (see below), whose sum is σ = 711770112. Its totient is φ = 46310400.

The previous prime is 230369351. The next prime is 230369387. The reversal of 230369370 is 73963032.

230369370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70002 + ... + 73218.

It is an arithmetic number, because the mean of its divisors is an integer number (5560704).

Almost surely, 2230369370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230369370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355885056).

230369370 is an abundant number, since it is smaller than the sum of its proper divisors (481400742).

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

230369370 is a wasteful number, since it uses less digits than its factorization.

230369370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 230369370 is about 15177.9237710564. The cubic root of 230369370 is about 613.0203779772.

The spelling of 230369370 in words is "two hundred thirty million, three hundred sixty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 165 186 210 217 231 310 330 341 385 434 462 465 651 682 770 930 1023 1085 1155 1302 1705 2046 2170 2310 2387 3217 3255 3410 4774 5115 6434 6510 7161 9651 10230 11935 14322 16085 19302 22519 23870 32170 35387 35805 45038 48255 67557 70774 71610 96510 99727 106161 112595 135114 176935 199454 212322 225190 247709 299181 337785 353870 495418 498635 530805 598362 675570 698089 743127 997270 1061610 1096997 1238545 1396178 1486254 1495905 2094267 2193994 2477090 2991810 3290991 3490445 3715635 4188534 5484985 6581982 6980890 7431270 7678979 10471335 10969970 15357958 16454955 20942670 23036937 32909910 38394895 46073874 76789790 115184685 230369370