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230503416 = 2331113471429
BaseRepresentation
bin11011011110100…
…11001111111000
3121001201210020120
431233103033320
5433002102131
634512253240
75466150423
oct1557231770
9531653216
10230503416
111091276a0
1265241220
13389a7470
14228829ba
1515382496
hexdbd33f8

230503416 has 128 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 63060480.

The previous prime is 230503411. The next prime is 230503423. The reversal of 230503416 is 614305032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230503411) 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, 160590 + ... + 162018.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2230503416 is an apocalyptic number.

230503416 is a gapful number since it is divisible by the number (26) 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 230503416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

230503416 is an abundant number, since it is smaller than the sum of its proper divisors (461387784).

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

230503416 is a wasteful number, since it uses less digits than its factorization.

230503416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 230503416 is about 15182.3389502408. The cubic root of 230503416 is about 613.1392551766.

Adding to 230503416 its reverse (614305032), we get a palindrome (844808448).

The spelling of 230503416 in words is "two hundred thirty million, five hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 47 52 66 78 88 94 104 132 141 143 156 188 264 282 286 312 376 429 517 564 572 611 858 1034 1128 1144 1222 1429 1551 1716 1833 2068 2444 2858 3102 3432 3666 4136 4287 4888 5716 6204 6721 7332 8574 11432 12408 13442 14664 15719 17148 18577 20163 26884 31438 34296 37154 40326 47157 53768 55731 62876 67163 74308 80652 94314 111462 125752 134326 148616 161304 188628 201489 204347 222924 268652 377256 402978 408694 445848 537304 613041 738793 805956 817388 873119 1226082 1477586 1611912 1634776 1746238 2216379 2452164 2619357 2955172 3492476 4432758 4904328 5238714 5910344 6984952 8865516 9604309 10477428 17731032 19208618 20954856 28812927 38417236 57625854 76834472 115251708 230503416