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300222606728 = 2311416012
BaseRepresentation
bin1000101111001101010…
…10010110110110001000
31001200221000210121202202
410113212222112312020
514404323441403403
6345530444215332
730455540023502
oct4274652266610
91050830717682
10300222606728
11106361920000
124a227b3a548
1322406c9c975
141076092ad72
157c21ed1688
hex45e6a96d88

300222606728 has 60 divisors (see below), whose sum is σ = 619592284725. Its totient is φ = 136379584000.

The previous prime is 300222606721. The next prime is 300222606737. The reversal of 300222606728 is 827606222003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 165094317124 + 135128289604 = 406318^2 + 367598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=387442.

It is a super-2 number, since 2×3002226067282 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300222606691 and 300222606700.

It is not an unprimeable number, because it can be changed into a prime (300222606721) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 187521128 + ... + 187522728.

Almost surely, 2300222606728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300222606728

300222606728 is an abundant number, since it is smaller than the sum of its proper divisors (319369677997).

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

300222606728 is an frugal number, since it uses more digits than its factorization.

300222606728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 300222606728 in words is "three hundred billion, two hundred twenty-two million, six hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 1601 2662 3202 5324 6404 10648 12808 14641 17611 29282 35222 58564 70444 117128 140888 193721 387442 774884 1549768 2130931 2563201 4261862 5126402 8523724 10252804 17047448 20505608 23440241 28195211 46880482 56390422 93760964 112780844 187521928 225561688 310147321 620294642 1240589284 2481178568 3411620531 6823241062 13646482124 27292964248 37527825841 75055651682 150111303364 300222606728