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300000222900 = 2232527193246731
BaseRepresentation
bin1000101110110010110…
…10000001111010110100
31001200100112100100111200
410113121122001322310
514403400024113100
6345452421532500
730450166551240
oct4273132017264
91050315310450
10300000222900
11106258339814
124a185574130
132239cba91c1
141073d19d420
157c0c704e00
hex45d9681eb4

300000222900 has 216 divisors, whose sum is σ = 1080240068544. Its totient is φ = 68215910400.

The previous prime is 300000222883. The next prime is 300000222941. The reversal of 300000222900 is 9222000003.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 1092535 + ... + 1339265.

Almost surely, 2300000222900 is an apocalyptic number.

300000222900 is a gapful number since it is divisible by the number (30) 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 300000222900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540120034272).

300000222900 is an abundant number, since it is smaller than the sum of its proper divisors (780239845644).

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

300000222900 is a wasteful number, since it uses less digits than its factorization.

300000222900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246951 (or 246941 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300000222900 its reverse (9222000003), we get a palindrome (309222222903).

The spelling of 300000222900 in words is "three hundred billion, two hundred twenty-two thousand, nine hundred".