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114220040 = 23511436037
BaseRepresentation
bin1101100111011…
…01110000001000
321221220222102212
412303231300020
5213220020130
615200044252
72554566014
oct663556010
9257828385
10114220040
1159524230
1232303688
131a88212c
1411253544
15a062e95
hex6cedc08

114220040 has 64 divisors (see below), whose sum is σ = 286925760. Its totient is φ = 40561920.

The previous prime is 114220031. The next prime is 114220069. The reversal of 114220040 is 40022411.

It is a junction number, because it is equal to n+sod(n) for n = 114219997 and 114220024.

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 15 ways as a sum of consecutive naturals, for example, 15902 + ... + 21938.

It is an arithmetic number, because the mean of its divisors is an integer number (4483215).

Almost surely, 2114220040 is an apocalyptic number.

114220040 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 114220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143462880).

114220040 is an abundant number, since it is smaller than the sum of its proper divisors (172705720).

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

114220040 is a wasteful number, since it uses less digits than its factorization.

114220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6098 counting only the distinct ones).

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

The square root of 114220040 is about 10687.3776016383. The cubic root of 114220040 is about 485.1925263914.

Adding to 114220040 its reverse (40022411), we get a palindrome (154242451).

The spelling of 114220040 in words is "one hundred fourteen million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 6037 9460 12074 18920 24148 30185 48296 60370 66407 120740 132814 241480 259591 265628 332035 519182 531256 664070 1038364 1297955 1328140 2076728 2595910 2656280 2855501 5191820 5711002 10383640 11422004 14277505 22844008 28555010 57110020 114220040