Search a number
-
+
20022196985100 = 22345223313466867
BaseRepresentation
bin1001000110101110001111…
…11100000101110100001100
32121220002210100000011220000
410203113013330011310030
510111020424412010400
6110330023104324300
74134361464210102
oct443270774056414
977802710004800
1020022196985100
11641a403247522
1222b4529313690
13b23114ba594b
144d3118237c72
1524ac53925600
hex1235c7f05d0c

20022196985100 has 360 divisors, whose sum is σ = 69910696762368. Its totient is φ = 4942364169600.

The previous prime is 20022196985081. The next prime is 20022196985111. The reversal of 20022196985100 is 158969122002.

It is a happy number.

20022196985100 is a `hidden beast` number, since 20 + 0 + 2 + 21 + 9 + 6 + 98 + 510 + 0 = 666.

It is a super-2 number, since 2×200221969851002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4041867 + ... + 7508733.

Almost surely, 220022196985100 is an apocalyptic number.

20022196985100 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 20022196985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34955348381184).

20022196985100 is an abundant number, since it is smaller than the sum of its proper divisors (49888499777268).

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

20022196985100 is a wasteful number, since it uses less digits than its factorization.

20022196985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466947 (or 3466931 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 20022196985100 in words is "twenty trillion, twenty-two billion, one hundred ninety-six million, nine hundred eighty-five thousand, one hundred".