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20400220220 = 2253134794823
BaseRepresentation
bin10010111111111100…
…101010100000111100
31221122201121120011212
4102333330222200330
5313234424021340
613212143303552
71321352003462
oct227774524074
957581546155
1020400220220
118719435436
123b53baabb8
131c01595533
14db7506832
157e5e74a65
hex4bff2a83c

20400220220 has 48 divisors (see below), whose sum is σ = 44350322688. Its totient is φ = 7874018880.

The previous prime is 20400220213. The next prime is 20400220223. The reversal of 20400220220 is 2202200402.

It is a junction number, because it is equal to n+sod(n) for n = 20400220195 and 20400220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400220223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167729 + ... + 262551.

It is an arithmetic number, because the mean of its divisors is an integer number (923965056).

Almost surely, 220400220220 is an apocalyptic number.

20400220220 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 20400220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175161344).

20400220220 is an abundant number, since it is smaller than the sum of its proper divisors (23950102468).

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

20400220220 is a wasteful number, since it uses less digits than its factorization.

20400220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95210 (or 95208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20400220220 its reverse (2202200402), we get a palindrome (22602420622).

The spelling of 20400220220 in words is "twenty billion, four hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 347 620 694 1388 1735 3470 6940 10757 21514 43028 53785 94823 107570 189646 215140 379292 474115 948230 1896460 2939513 5879026 11758052 14697565 29395130 32903581 58790260 65807162 131614324 164517905 329035810 658071620 1020011011 2040022022 4080044044 5100055055 10200110110 20400220220