Search a number
-
+
222032030120300 = 22522923118489053
BaseRepresentation
bin110010011110111111011100…
…010010001011100101101100
31002010011001110221021010002002
4302132333130102023211230
5213100233044202322200
62104120035001151432
764524166455354431
oct6236773422134554
91063131427233062
10222032030120300
1164823289704674
1220a9b36578b578
1396b76b896108a
143cb859c635b88
151aa0868d8dbd5
hexc9efdc48b96c

222032030120300 has 108 divisors (see below), whose sum is σ = 500601076365936. Its totient is φ = 85474566777600.

The previous prime is 222032030120297. The next prime is 222032030120309. The reversal of 222032030120300 is 3021030230222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222032030120309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21910574 + ... + 30399626.

Almost surely, 2222032030120300 is an apocalyptic number.

222032030120300 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 222032030120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250300538182968).

222032030120300 is an abundant number, since it is smaller than the sum of its proper divisors (278569046245636).

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

222032030120300 is a wasteful number, since it uses less digits than its factorization.

222032030120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489436 (or 8489400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 222032030120300 its reverse (3021030230222), we get a palindrome (225053060350522).

The spelling of 222032030120300 in words is "two hundred twenty-two trillion, thirty-two billion, thirty million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 311 580 622 725 841 1244 1450 1555 1682 2900 3110 3364 4205 6220 7775 8410 9019 15550 16820 18038 21025 31100 36076 42050 45095 84100 90190 180380 225475 261551 450950 523102 901900 1046204 1307755 2615510 5231020 6538775 8489053 13077550 16978106 26155100 33956212 42445265 84890530 169781060 212226325 246182537 424452650 492365074 848905300 984730148 1230912685 2461825370 2640095483 4923650740 5280190966 6154563425 7139293573 10560381932 12309126850 13200477415 14278587146 24618253700 26400954830 28557174292 35696467865 52801909660 66002387075 71392935730 76562769007 132004774150 142785871460 153125538014 178482339325 264009548300 306251076028 356964678650 382813845035 713929357300 765627690070 1531255380140 1914069225175 2220320301203 3828138450350 4440640602406 7656276900700 8881281204812 11101601506015 22203203012030 44406406024060 55508007530075 111016015060150 222032030120300