Search a number
-
+
22030621075980 = 2233511192235967113
BaseRepresentation
bin1010000001001011001110…
…10101111110101000001100
32220000002212212021012002000
411000211213111332220030
510341422202443412410
6114504421055032300
74432442220254646
oct500454725765014
986002785235060
1022030621075980
117024152295490
12257982250b690
13c3a62b7a7b7a
14562405827896
1528310126edc0
hex14096757ea0c

22030621075980 has 2304 divisors, whose sum is σ = 85741634764800. Its totient is φ = 4645165916160.

The previous prime is 22030621075963. The next prime is 22030621075987. The reversal of 22030621075980 is 8957012603022.

22030621075980 is a `hidden beast` number, since 2 + 2 + 0 + 30 + 6 + 21 + 0 + 7 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22030621075987) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 194961248404 + ... + 194961248516.

It is an arithmetic number, because the mean of its divisors is an integer number (37214251200).

Almost surely, 222030621075980 is an apocalyptic number.

22030621075980 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 22030621075980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42870817382400).

22030621075980 is an abundant number, since it is smaller than the sum of its proper divisors (63711013688820).

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

22030621075980 is a wasteful number, since it uses less digits than its factorization.

22030621075980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22030621075980 in words is "twenty-two trillion, thirty billion, six hundred twenty-one million, seventy-five thousand, nine hundred eighty".