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230355450 = 23252133233
BaseRepresentation
bin11011011101011…
…11000111111010
3121001110021021100
431232233013322
5432432333300
634505152230
75464663143
oct1556570772
9531407240
10230355450
11109036506
126518b676
1338955000
1422844aca
1515353700
hexdbaf1fa

230355450 has 144 divisors (see below), whose sum is σ = 673316280. Its totient is φ = 56459520.

The previous prime is 230355443. The next prime is 230355467. The reversal of 230355450 is 54553032.

It can be written as a sum of positive squares in 12 ways, for example, as 138368169 + 91987281 = 11763^2 + 9591^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 988534 + ... + 988766.

Almost surely, 2230355450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230355450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336658140).

230355450 is an abundant number, since it is smaller than the sum of its proper divisors (442960830).

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

230355450 is a wasteful number, since it uses less digits than its factorization.

230355450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 230355450 is about 15177.4652033862. The cubic root of 230355450 is about 613.0080305377.

The spelling of 230355450 in words is "two hundred thirty million, three hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 169 195 225 233 234 325 338 390 450 466 507 585 650 699 845 975 1014 1165 1170 1398 1521 1690 1950 2097 2197 2330 2535 2925 3029 3042 3495 4194 4225 4394 5070 5825 5850 6058 6591 6990 7605 8450 9087 10485 10985 11650 12675 13182 15145 15210 17475 18174 19773 20970 21970 25350 27261 30290 32955 34950 38025 39377 39546 45435 52425 54522 54925 65910 75725 76050 78754 90870 98865 104850 109850 118131 136305 151450 164775 196885 197730 227175 236262 272610 329550 354393 393770 454350 494325 511901 590655 681525 708786 984425 988650 1023802 1181310 1363050 1535703 1771965 1968850 2559505 2953275 3071406 3543930 4607109 5119010 5906550 7678515 8859825 9214218 12797525 15357030 17719650 23035545 25595050 38392575 46071090 76785150 115177725 230355450