Search a number
-
+
230455476 = 22334783547
BaseRepresentation
bin11011011110001…
…11100010110100
3121001122100111000
431233013202310
5432444033401
634511243300
75465560566
oct1557074264
9531570430
10230455476
111090a4679
1265219530
133898b6b4
142286d336
1515373186
hexdbc78b4

230455476 has 96 divisors (see below), whose sum is σ = 618670080. Its totient is φ = 74142432.

The previous prime is 230455471. The next prime is 230455481. The reversal of 230455476 is 674554032.

230455476 is a `hidden beast` number, since 2 + 30 + 4 + 554 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (230455471) and next prime (230455481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230455476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230455471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421035 + ... + 421581.

It is an arithmetic number, because the mean of its divisors is an integer number (6444480).

Almost surely, 2230455476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230455476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309335040).

230455476 is an abundant number, since it is smaller than the sum of its proper divisors (388214604).

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

230455476 is a wasteful number, since it uses less digits than its factorization.

230455476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 230455476 is about 15180.7600600233. The cubic root of 230455476 is about 613.0967454178.

The spelling of 230455476 in words is "two hundred thirty million, four hundred fifty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 83 94 108 141 166 188 249 282 332 423 498 547 564 747 846 996 1094 1269 1494 1641 1692 2188 2241 2538 2988 3282 3901 4482 4923 5076 6564 7802 8964 9846 11703 14769 15604 19692 23406 25709 29538 35109 45401 46812 51418 59076 70218 77127 90802 102836 105327 136203 140436 154254 181604 210654 231381 272406 308508 408609 421308 462762 544812 694143 817218 925524 1225827 1388286 1634436 2133847 2451654 2776572 4267694 4903308 6401541 8535388 12803082 19204623 25606164 38409246 57613869 76818492 115227738 230455476