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20114220 = 2235783577
BaseRepresentation
bin100110010111…
…0101100101100
31101211220112010
41030232230230
520122123340
61555041220
7332653020
oct114565454
941756463
1020114220
1110399125
1268a0210
134223409
142958380
151b74b80
hex132eb2c

20114220 has 96 divisors (see below), whose sum is σ = 65253888. Its totient is φ = 4534272.

The previous prime is 20114209. The next prime is 20114249. The reversal of 20114220 is 2241102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20114196 and 20114205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34572 + ... + 35148.

It is an arithmetic number, because the mean of its divisors is an integer number (679728).

Almost surely, 220114220 is an apocalyptic number.

20114220 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 20114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626944).

20114220 is an abundant number, since it is smaller than the sum of its proper divisors (45139668).

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

20114220 is a wasteful number, since it uses less digits than its factorization.

20114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20114220 is about 4484.8879584667. The cubic root of 20114220 is about 271.9575157118.

Adding to 20114220 its reverse (2241102), we get a palindrome (22355322).

The spelling of 20114220 in words is "twenty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 577 581 830 996 1154 1162 1245 1660 1731 1743 2308 2324 2490 2885 2905 3462 3486 4039 4980 5770 5810 6924 6972 8078 8655 8715 11540 11620 12117 16156 17310 17430 20195 24234 34620 34860 40390 47891 48468 60585 80780 95782 121170 143673 191564 239455 242340 287346 335237 478910 574692 670474 718365 957820 1005711 1340948 1436730 1676185 2011422 2873460 3352370 4022844 5028555 6704740 10057110 20114220