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230465068800 = 2835212003389
BaseRepresentation
bin1101011010100011001…
…0011101111100000000
3211000212111200112022220
43112220302131330000
512233443024200200
6253512454131040
722436065522401
oct3265062357400
9730774615286
10230465068800
118981558330a
12387ba350a80
131896ab589c5
14b2241cb9a8
155edcd164a0
hex35a8c9df00

230465068800 has 108 divisors (see below), whose sum is σ = 760582803960. Its totient is φ = 61457346560.

The previous prime is 230465068793. The next prime is 230465068843. The reversal of 230465068800 is 8860564032.

It is a super-2 number, since 2×2304650688002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5982495 + ... + 6020894.

It is an arithmetic number, because the mean of its divisors is an integer number (7042433370).

Almost surely, 2230465068800 is an apocalyptic number.

230465068800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230465068800 is an abundant number, since it is smaller than the sum of its proper divisors (530117735160).

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

230465068800 is a wasteful number, since it uses less digits than its factorization.

230465068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003418 (or 12003399 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 230465068800 in words is "two hundred thirty billion, four hundred sixty-five million, sixty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 12003389 24006778 36010167 48013556 60016945 72020334 96027112 120033890 144040668 180050835 192054224 240067780 288081336 300084725 360101670 384108448 480135560 576162672 600169450 720203340 768216896 900254175 960271120 1152325344 1200338900 1440406680 1536433792 1800508350 1920542240 2304650688 2400677800 2880813360 3072867584 3601016700 3841084480 4609301376 4801355600 5761626720 7202033400 7682168960 9218602752 9602711200 11523253440 14404066800 15364337920 19205422400 23046506880 28808133600 38410844800 46093013760 57616267200 76821689600 115232534400 230465068800