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114222020 = 225111992609
BaseRepresentation
bin1101100111011…
…10001111000100
321221221002011012
412303232033010
5213220101040
615200101352
72554604543
oct663561704
9257832135
10114222020
1159525770
1232304858
131a882cc3
141125415a
15a063865
hex6cee3c4

114222020 has 48 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 41310720.

The previous prime is 114222013. The next prime is 114222077. The reversal of 114222020 is 20222411.

It is a junction number, because it is equal to n+sod(n) for n = 114221986 and 114222004.

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, 42476 + ... + 45084.

It is an arithmetic number, because the mean of its divisors is an integer number (5481000).

Almost surely, 2114222020 is an apocalyptic number.

114222020 is a gapful number since it is divisible by the number (10) 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 114222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544000).

114222020 is an abundant number, since it is smaller than the sum of its proper divisors (148865980).

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

114222020 is a wasteful number, since it uses less digits than its factorization.

114222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114222020 is about 10687.4702338767. The cubic root of 114222020 is about 485.1953299731.

Adding to 114222020 its reverse (20222411), we get a palindrome (134444431).

The spelling of 114222020 in words is "one hundred fourteen million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 2609 3980 4378 5218 8756 10436 10945 13045 21890 26090 28699 43780 52180 57398 114796 143495 286990 519191 573980 1038382 2076764 2595955 5191910 5711101 10383820 11422202 22844404 28555505 57111010 114222020