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2000222100 = 223452246941
BaseRepresentation
bin111011100111000…
…1111011110010100
312011101202210220000
41313032033132110
513044024101400
6530251411300
7100365415212
oct16716173624
95141683800
102000222100
11937089518
12479a53b30
1325b524496
1414d915cb2
15ba908600
hex7738f794

2000222100 has 90 divisors (see below), whose sum is σ = 6483956094. Its totient is φ = 533390400.

The previous prime is 2000222089. The next prime is 2000222113. The reversal of 2000222100 is 12220002.

It can be written as a sum of positive squares in 3 ways, for example, as 229159044 + 1771063056 = 15138^2 + 42084^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 115371 + ... + 131570.

Almost surely, 22000222100 is an apocalyptic number.

2000222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000222100 is an abundant number, since it is smaller than the sum of its proper divisors (4483733994).

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

2000222100 is a wasteful number, since it uses less digits than its factorization.

2000222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246967 (or 246951 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000222100 is about 44723.8426345501. The cubic root of 2000222100 is about 1259.9676862461.

Adding to 2000222100 its reverse (12220002), we get a palindrome (2012442102).

The spelling of 2000222100 in words is "two billion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 246941 493882 740823 987764 1234705 1481646 2222469 2469410 2963292 3704115 4444938 4938820 6173525 6667407 7408230 8889876 11112345 12347050 13334814 14816460 18520575 20002221 22224690 24694100 26669628 33337035 37041150 40004442 44449380 55561725 66674070 74082300 80008884 100011105 111123450 133348140 166685175 200022210 222246900 333370350 400044420 500055525 666740700 1000111050 2000222100