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230010022320 = 243513292542109
BaseRepresentation
bin1101011000110110101…
…0100110100110110000
3210222200210102202220120
43112031222212212300
512232030031203240
6253355401010240
722421601634311
oct3261552464660
9728623382816
10230010022320
1189601730141
12386b1a83980
13188c77b3030
14b1bd9b8608
155eb2dccad0
hex358daa69b0

230010022320 has 160 divisors (see below), whose sum is σ = 794358532800. Its totient is φ = 54665490432.

The previous prime is 230010022289. The next prime is 230010022337. The reversal of 230010022320 is 23220010032.

230010022320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2300100223202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230010022320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180575 + ... + 1361534.

It is an arithmetic number, because the mean of its divisors is an integer number (4964740830).

Almost surely, 2230010022320 is an apocalyptic number.

230010022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230010022320 is an abundant number, since it is smaller than the sum of its proper divisors (564348510480).

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

230010022320 is a wasteful number, since it uses less digits than its factorization.

230010022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542167 (or 2542161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230010022320 its reverse (23220010032), we get a palindrome (253230032352).

The spelling of 230010022320 in words is "two hundred thirty billion, ten million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 45240 90480 2542109 5084218 7626327 10168436 12710545 15252654 20336872 25421090 30505308 33047417 38131635 40673744 50842180 61010616 66094834 73721161 76263270 99142251 101684360 122021232 132189668 147442322 152526540 165237085 198284502 203368720 221163483 264379336 294884644 305053080 330474170 368605805 396569004 442326966 495711255 528758672 589769288 610106160 660948340 737211610 793138008 884653932 958375093 991422510 1105817415 1179538576 1321896680 1474423220 1586276016 1769307864 1916750186 1982845020 2211634830 2643793360 2875125279 2948846440 3538615728 3833500372 3965690040 4423269660 4791875465 5750250558 5897692880 7667000744 7931380080 8846539320 9583750930 11500501116 14375626395 15334001488 17693078640 19167501860 23001002232 28751252790 38335003720 46002004464 57502505580 76670007440 115005011160 230010022320