Search a number
-
+
20022071280 = 2435119369929
BaseRepresentation
bin10010101001011010…
…001000111111110000
31220200101001121100120
4102221122020333300
5312001122240110
613110434250240
71306110540441
oct225132107760
956611047316
1020022071280
118544a34552
123a69426980
131b71134a73
14d7d1cd2c8
157c2b7a870
hex4a9688ff0

20022071280 has 80 divisors (see below), whose sum is σ = 62121336480. Its totient is φ = 5334667264.

The previous prime is 20022071269. The next prime is 20022071291. The reversal of 20022071280 is 8217022002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20022071269) and next prime (20022071291).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20022071280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251356 + ... + 321284.

It is an arithmetic number, because the mean of its divisors is an integer number (776516706).

Almost surely, 220022071280 is an apocalyptic number.

20022071280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022071280 is an abundant number, since it is smaller than the sum of its proper divisors (42099265200).

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

20022071280 is a wasteful number, since it uses less digits than its factorization.

20022071280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71138 (or 71132 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 20022071280 its reverse (8217022002), we get a palindrome (28239093282).

The spelling of 20022071280 in words is "twenty billion, twenty-two million, seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1193 2386 3579 4772 5965 7158 9544 11930 14316 17895 19088 23860 28632 35790 47720 57264 69929 71580 95440 139858 143160 209787 279716 286320 349645 419574 559432 699290 839148 1048935 1118864 1398580 1678296 2097870 2797160 3356592 4195740 5594320 8391480 16782960 83425297 166850594 250275891 333701188 417126485 500551782 667402376 834252970 1001103564 1251379455 1334804752 1668505940 2002207128 2502758910 3337011880 4004414256 5005517820 6674023760 10011035640 20022071280