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230763912240 = 243553101317909
BaseRepresentation
bin1101011011101010011…
…0011101110000110000
3211001122100000100110110
43112322212131300300
512240101030142430
6254002251301320
722446354614151
oct3267246356060
9731570010413
10230763912240
1189959237864
123888244a840
13189b7a40244
14b251b7d928
1560091977b0
hex35ba99dc30

230763912240 has 160 divisors (see below), whose sum is σ = 729625890240. Its totient is φ = 60312997888.

The previous prime is 230763912229. The next prime is 230763912251. The reversal of 230763912240 is 42219367032.

It is an interprime number because it is at equal distance from previous prime (230763912229) and next prime (230763912251).

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, 12876406 + ... + 12894314.

It is an arithmetic number, because the mean of its divisors is an integer number (4560161814).

Almost surely, 2230763912240 is an apocalyptic number.

230763912240 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 230763912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364812945120).

230763912240 is an abundant number, since it is smaller than the sum of its proper divisors (498861978000).

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

230763912240 is a wasteful number, since it uses less digits than its factorization.

230763912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18991 (or 18985 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 230763912240 in words is "two hundred thirty billion, seven hundred sixty-three million, nine hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1013 1060 1272 1590 2026 2120 2544 3039 3180 4052 4240 5065 6078 6360 8104 10130 12156 12720 15195 16208 17909 20260 24312 30390 35818 40520 48624 53689 53727 60780 71636 81040 89545 107378 107454 121560 143272 161067 179090 214756 214908 243120 268445 268635 286544 322134 358180 429512 429816 536890 537270 644268 716360 805335 859024 859632 949177 1073780 1074540 1288536 1432720 1610670 1898354 2147560 2149080 2577072 2847531 3221340 3796708 4295120 4298160 4745885 5695062 6442680 7593416 9491770 11390124 12885360 14237655 15186832 18141817 18983540 22780248 28475310 36283634 37967080 45560496 54425451 56950620 72567268 75934160 90709085 108850902 113901240 145134536 181418170 217701804 227802480 272127255 290269072 362836340 435403608 544254510 725672680 870807216 961516301 1088509020 1451345360 1923032602 2177018040 2884548903 3846065204 4354036080 4807581505 5769097806 7692130408 9615163010 11538195612 14422744515 15384260816 19230326020 23076391224 28845489030 38460652040 46152782448 57690978060 76921304080 115381956120 230763912240