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230655320 = 235717471031
BaseRepresentation
bin11011011111110…
…00010101011000
3121002000111121122
431233320111120
5433021432240
634515424412
75500352330
oct1557702530
9532014548
10230655320
11109220835
12652b5108
1338a2b64c
14228c20c0
15153b24b5
hexdbf8558

230655320 has 128 divisors (see below), whose sum is σ = 641986560. Its totient is φ = 72775680.

The previous prime is 230655319. The next prime is 230655323. The reversal of 230655320 is 23556032.

It is a self number, because there is not a number n which added to its sum of digits gives 230655320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230655323) 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, 223205 + ... + 224235.

It is an arithmetic number, because the mean of its divisors is an integer number (5015520).

Almost surely, 2230655320 is an apocalyptic number.

230655320 is a gapful number since it is divisible by the number (20) 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 230655320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320993280).

230655320 is an abundant number, since it is smaller than the sum of its proper divisors (411331240).

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

230655320 is a wasteful number, since it uses less digits than its factorization.

230655320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 230655320 is about 15187.3407810584. The cubic root of 230655320 is about 613.2739138509.

The spelling of 230655320 in words is "two hundred thirty million, six hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 47 56 68 70 85 94 119 136 140 170 188 235 238 280 329 340 376 470 476 595 658 680 799 940 952 1031 1190 1316 1598 1645 1880 2062 2380 2632 3196 3290 3995 4124 4760 5155 5593 6392 6580 7217 7990 8248 10310 11186 13160 14434 15980 17527 20620 22372 27965 28868 31960 35054 36085 41240 44744 48457 55930 57736 70108 72170 87635 96914 111860 122689 140216 144340 175270 193828 223720 242285 245378 288680 339199 350540 387656 484570 490756 613445 678398 701080 823769 969140 981512 1226890 1356796 1647538 1695995 1938280 2453780 2713592 3295076 3391990 4118845 4907560 5766383 6590152 6783980 8237690 11532766 13567960 16475380 23065532 28831915 32950760 46131064 57663830 115327660 230655320