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114334220 = 225711135711
BaseRepresentation
bin1101101000010…
…01101000001100
321222010210001202
412310021220030
5213232143340
615202325032
72555552630
oct664115014
9258123052
10114334220
11595a1aa0
1232359778
131a8c20b0
1411282dc0
15a086c15
hex6d09a0c

114334220 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 32889600.

The previous prime is 114334217. The next prime is 114334237. The reversal of 114334220 is 22433411.

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 = 114334192 and 114334201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17165 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2114334220 is an apocalyptic number.

114334220 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 114334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

114334220 is an abundant number, since it is smaller than the sum of its proper divisors (208096756).

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

114334220 is a wasteful number, since it uses less digits than its factorization.

114334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 114334220 is about 10692.7180828824. The cubic root of 114334220 is about 485.3541466959.

Adding to 114334220 its reverse (22433411), we get a palindrome (136767631).

The spelling of 114334220 in words is "one hundred fourteen million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5711 10010 11422 20020 22844 28555 39977 57110 62821 74243 79954 114220 125642 148486 159908 199885 251284 296972 314105 371215 399770 439747 519701 628210 742430 799540 816673 879494 1039402 1256420 1484860 1633346 1758988 2078804 2198735 2598505 3266692 4083365 4397470 5197010 5716711 8166730 8794940 10394020 11433422 16333460 22866844 28583555 57167110 114334220