Search a number
-
+
222002100100 = 225211218347281
BaseRepresentation
bin1100111011000001011…
…0110011011110000100
3210020000201010011202201
43032300112303132010
512114130014200400
6245553015244244
722016263500304
oct3166026633604
9706021104681
10222002100100
1186172441700
1237038079684
1317c1c728011
14aa6024b604
155b94d6a06a
hex33b05b3784

222002100100 has 54 divisors (see below), whose sum is σ = 529520905802. Its totient is φ = 80728032000.

The previous prime is 222002100059. The next prime is 222002100119. The reversal of 222002100100 is 1001200222.

222002100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41286988864 + 180715111236 = 203192^2 + 425106^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 17 ways as a sum of consecutive naturals, for example, 9161541 + ... + 9185740.

Almost surely, 2222002100100 is an apocalyptic number.

222002100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002100100 is an abundant number, since it is smaller than the sum of its proper divisors (307518805702).

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

222002100100 is a wasteful number, since it uses less digits than its factorization.

222002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18347317 (or 18347299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 222002100100 its reverse (1001200222), we get a palindrome (223003300322).

The spelling of 222002100100 in words is "two hundred twenty-two billion, two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 18347281 36694562 73389124 91736405 183472810 201820091 366945620 403640182 458682025 807280364 917364050 1009100455 1834728100 2018200910 2220021001 4036401820 4440042002 5045502275 8880084004 10091004550 11100105005 20182009100 22200210010 44400420020 55500525025 111001050050 222002100100