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230581020 = 223571113479
BaseRepresentation
bin11011011111001…
…10001100011100
3121001212201200210
431233212030130
5433012043040
634514052420
75466622605
oct1557461434
9531781623
10230581020
1110917aa2a
126527a110
1338a03897
14228a2dac
151539a480
hexdbe631c

230581020 has 96 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 59960320.

The previous prime is 230581019. The next prime is 230581031. The reversal of 230581020 is 20185032.

230581020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481141 + ... + 481619.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2230581020 is an apocalyptic number.

230581020 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 230581020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

230581020 is an abundant number, since it is smaller than the sum of its proper divisors (431312100).

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

230581020 is a wasteful number, since it uses less digits than its factorization.

230581020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 230581020 is about 15184.8944678585. The cubic root of 230581020 is about 613.2080563550.

The spelling of 230581020 in words is "two hundred thirty million, five hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 113 142 213 226 284 339 355 426 452 479 565 678 710 852 958 1065 1130 1356 1420 1437 1695 1916 2130 2260 2395 2874 3390 4260 4790 5748 6780 7185 8023 9580 14370 16046 24069 28740 32092 34009 40115 48138 54127 68018 80230 96276 102027 108254 120345 136036 160460 162381 170045 204054 216508 240690 270635 324762 340090 408108 481380 510135 541270 649524 680180 811905 1020270 1082540 1623810 2040540 3247620 3843017 7686034 11529051 15372068 19215085 23058102 38430170 46116204 57645255 76860340 115290510 230581020