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222003030100 = 22522976552769
BaseRepresentation
bin1100111011000001101…
…0010110100001010100
3210020000202212102111011
43032300122112201110
512114130233430400
6245553051222004
722016304422545
oct3166032264124
9706022772434
10222003030100
1186172a173a5
1237038447904
1317c1c992407
14aa604104cc
155b94ea08ba
hex33b0696854

222003030100 has 36 divisors (see below), whose sum is σ = 498358532700. Its totient is φ = 85739100160.

The previous prime is 222003030079. The next prime is 222003030113. The reversal of 222003030100 is 1030300222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27714258576 + 194288771524 = 166476^2 + 440782^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38273485 + ... + 38279284.

It is an arithmetic number, because the mean of its divisors is an integer number (13843292575).

Almost surely, 2222003030100 is an apocalyptic number.

222003030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222003030100 is an abundant number, since it is smaller than the sum of its proper divisors (276355502600).

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

222003030100 is a wasteful number, since it uses less digits than its factorization.

222003030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76552812 (or 76552805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 222003030100 its reverse (1030300222), we get a palindrome (223033330322).

The spelling of 222003030100 in words is "two hundred twenty-two billion, three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 76552769 153105538 306211076 382763845 765527690 1531055380 1913819225 2220030301 3827638450 4440060602 7655276900 8880121204 11100151505 22200303010 44400606020 55500757525 111001515050 222003030100