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20221474330200 = 233521113816128879
BaseRepresentation
bin1001001100100001011011…
…10010110101011001011000
32122121011011022111012020010
410212100231302311121120
510122302034412031300
6111001341141401520
74154644661535363
oct446205562653130
978534138435203
1020221474330200
1164969740a5370
122327082a092a0
13b38b52582a70
144dca203650da
152510186eea50
hex12642dcb5658

20221474330200 has 384 divisors, whose sum is σ = 73657335628800. Its totient is φ = 4524374016000.

The previous prime is 20221474330199. The next prime is 20221474330237. The reversal of 20221474330200 is 203347412202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700199361 + ... + 700228239.

It is an arithmetic number, because the mean of its divisors is an integer number (191815978200).

Almost surely, 220221474330200 is an apocalyptic number.

20221474330200 is a gapful number since it is divisible by the number (20) 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 20221474330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828667814400).

20221474330200 is an abundant number, since it is smaller than the sum of its proper divisors (53435861298600).

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

20221474330200 is a wasteful number, since it uses less digits than its factorization.

20221474330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37083 (or 37074 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 20221474330200 in words is "twenty trillion, two hundred twenty-one billion, four hundred seventy-four million, three hundred thirty thousand, two hundred".