Search a number
-
+
230273784 = 2332131571567
BaseRepresentation
bin11011011100110…
…11001011111000
3121001022010020200
431232123023320
5432422230114
634503322200
75464203066
oct1556331370
9531263220
10230273784
11108a90114
1265150360
1338926aa0
1422823036
1515339409
hexdb9b2f8

230273784 has 96 divisors (see below), whose sum is σ = 676341120. Its totient is φ = 70357248.

The previous prime is 230273779. The next prime is 230273801. The reversal of 230273784 is 487372032.

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

It is a congruent number.

It is an unprimeable number.

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, 146169 + ... + 147735.

It is an arithmetic number, because the mean of its divisors is an integer number (7045220).

Almost surely, 2230273784 is an apocalyptic number.

230273784 is a gapful number since it is divisible by the number (24) 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 230273784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338170560).

230273784 is an abundant number, since it is smaller than the sum of its proper divisors (446067336).

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

230273784 is a wasteful number, since it uses less digits than its factorization.

230273784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 230273784 is about 15174.7745947016. The cubic root of 230273784 is about 612.9355804307.

The spelling of 230273784 in words is "two hundred thirty million, two hundred seventy-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 468 471 628 936 942 1256 1413 1567 1884 2041 2826 3134 3768 4082 4701 5652 6123 6268 8164 9402 11304 12246 12536 14103 16328 18369 18804 20371 24492 28206 36738 37608 40742 48984 56412 61113 73476 81484 112824 122226 146952 162968 183339 244452 246019 366678 488904 492038 733356 738057 984076 1466712 1476114 1968152 2214171 2952228 3198247 4428342 5904456 6396494 8856684 9594741 12792988 17713368 19189482 25585976 28784223 38378964 57568446 76757928 115136892 230273784