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20422221320 = 2357161911617
BaseRepresentation
bin10011000001010000…
…100101111000001000
31221201021000100000102
4103001100211320020
5313311042040240
613214251024532
71322040005564
oct230120457010
957637010012
1020422221320
11872a8a2166
123b5b43b148
131c05cc9737
14dba3d26a4
157e7d6d815
hex4c1425e08

20422221320 has 64 divisors (see below), whose sum is σ = 46676476800. Its totient is φ = 8040130560.

The previous prime is 20422221301. The next prime is 20422221359. The reversal of 20422221320 is 2312222402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20422221292 and 20422221301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752152 + ... + 1763768.

It is an arithmetic number, because the mean of its divisors is an integer number (729319950).

Almost surely, 220422221320 is an apocalyptic number.

20422221320 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 20422221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338238400).

20422221320 is an abundant number, since it is smaller than the sum of its proper divisors (26254255480).

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

20422221320 is a wasteful number, since it uses less digits than its factorization.

20422221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20422221320 its reverse (2312222402), we get a palindrome (22734443722).

The spelling of 20422221320 in words is "twenty billion, four hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 619 710 1238 1420 2476 2840 3095 4952 6190 11617 12380 23234 24760 43949 46468 58085 87898 92936 116170 175796 219745 232340 351592 439490 464680 824807 878980 1649614 1757960 3299228 4124035 6598456 7190923 8248070 14381846 16496140 28763692 32992280 35954615 57527384 71909230 143818460 287636920 510555533 1021111066 2042222132 2552777665 4084444264 5105555330 10211110660 20422221320