Search a number
-
+
20122220220072 = 233838425842503
BaseRepresentation
bin1001001001101000100011…
…10010011100111010101000
32122020122222010100222112020
410210310101302130322220
510114140301334020242
6110444004221344440
74144532242530045
oct444642162347250
978218863328466
1020122220220072
116458870802383
12230b9a2a08120
13b2c69545c099
144d7cc63c61cc
1524d659bee6ec
hex124d11c9cea8

20122220220072 has 16 divisors (see below), whose sum is σ = 50305550550240. Its totient is φ = 6707406740016.

The previous prime is 20122220220061. The next prime is 20122220220073. The reversal of 20122220220072 is 27002202222102.

It is a happy number.

It is a super-2 number, since 2×201222202200722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 838425842503 = 20122220220072 / (2 + 0 + 1 + 2 + 2 + 2 + 2 + 0 + 2 + 2 + 0 + 0 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (20122220220073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419212921228 + ... + 419212921275.

It is an arithmetic number, because the mean of its divisors is an integer number (3144096909390).

Almost surely, 220122220220072 is an apocalyptic number.

It is an amenable number.

20122220220072 is an abundant number, since it is smaller than the sum of its proper divisors (30183330330168).

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

20122220220072 is a wasteful number, since it uses less digits than its factorization.

20122220220072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838425842512 (or 838425842508 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 20122220220072 its reverse (27002202222102), we get a palindrome (47124422442174).

The spelling of 20122220220072 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 838425842503 1676851685006 2515277527509 3353703370012 5030555055018 6707406740024 10061110110036 20122220220072