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22047036761400 = 23352716760152301
BaseRepresentation
bin1010000001101001110011…
…10010110110010100111000
32220001200020220021102001220
411000310321302312110320
510342204312402331100
6114520134024112040
74433563060266060
oct500647162662470
986050226242056
1022047036761400
117030106539952
122580a44005620
13c3c046704cb1
14563121a843a0
152837624c6aa0
hex140d39cb6538

22047036761400 has 384 divisors, whose sum is σ = 78709472271360. Its totient is φ = 5000716800000.

The previous prime is 22047036761383. The next prime is 22047036761401. The reversal of 22047036761400 is 416763074022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22047036761401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421515250 + ... + 421567550.

It is an arithmetic number, because the mean of its divisors is an integer number (204972584040).

Almost surely, 222047036761400 is an apocalyptic number.

22047036761400 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 22047036761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39354736135680).

22047036761400 is an abundant number, since it is smaller than the sum of its proper divisors (56662435509960).

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

22047036761400 is a wasteful number, since it uses less digits than its factorization.

22047036761400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53095 (or 53086 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 22047036761400 in words is "twenty-two trillion, forty-seven billion, thirty-six million, seven hundred sixty-one thousand, four hundred".