Search a number
-
+
223002230031120 = 24351245174626613
BaseRepresentation
bin110010101101000111000000…
…101101001000001100010000
31002020120210201211120011021110
4302231013000231020030100
5213212132031341443440
62110141451000253320
764654244101501131
oct6255070055101420
91066523654504243
10223002230031120
1165067795218491
12210173ab771240
1397580350ba347
143d0d518dd1c88
151ababee319080
hexcad1c0b48310

223002230031120 has 80 divisors (see below), whose sum is σ = 691362444560832. Its totient is φ = 59462484441600.

The previous prime is 223002230031107. The next prime is 223002230031157. The reversal of 223002230031120 is 21130032200322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34325067 + ... + 40301546.

Almost surely, 2223002230031120 is an apocalyptic number.

223002230031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223002230031120 is an abundant number, since it is smaller than the sum of its proper divisors (468360214529712).

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

223002230031120 is a wasteful number, since it uses less digits than its factorization.

223002230031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74639080 (or 74639074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223002230031120 its reverse (21130032200322), we get a palindrome (244132262231442).

The spelling of 223002230031120 in words is "two hundred twenty-three trillion, two billion, two hundred thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12451 24902 37353 49804 62255 74706 99608 124510 149412 186765 199216 249020 298824 373530 498040 597648 747060 996080 1494120 2988240 74626613 149253226 223879839 298506452 373133065 447759678 597012904 746266130 895519356 1119399195 1194025808 1492532260 1791038712 2238798390 2985064520 3582077424 4477596780 5970129040 8955193560 17910387120 929175958463 1858351916926 2787527875389 3716703833852 4645879792315 5575055750778 7433407667704 9291759584630 11150111501556 13937639376945 14866815335408 18583519169260 22300223003112 27875278753890 37167038338520 44600446006224 55750557507780 74334076677040 111501115015560 223002230031120