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114410220 = 223529471399
BaseRepresentation
bin1101101000111…
…00001011101100
321222021122022120
412310130023230
5213242111340
615204112540
72556320331
oct664341354
9258248276
10114410220
1159644101
1232395750
131a91a872
14112a2988
15a09e4d0
hex6d1c2ec

114410220 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 28809984.

The previous prime is 114410183. The next prime is 114410251. The reversal of 114410220 is 22014411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114410220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81081 + ... + 82479.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2114410220 is an apocalyptic number.

114410220 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 114410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

114410220 is an abundant number, since it is smaller than the sum of its proper divisors (224277780).

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

114410220 is a wasteful number, since it uses less digits than its factorization.

114410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114410220 is about 10696.2713129389. The cubic root of 114410220 is about 485.4616640692.

Adding to 114410220 its reverse (22014411), we get a palindrome (136424631).

The spelling of 114410220 in words is "one hundred fourteen million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 705 870 940 1363 1399 1410 1740 2726 2798 2820 4089 4197 5452 5596 6815 6995 8178 8394 13630 13990 16356 16788 20445 20985 27260 27980 40571 40890 41970 65753 81142 81780 83940 121713 131506 162284 197259 202855 243426 263012 328765 394518 405710 486852 608565 657530 789036 811420 986295 1217130 1315060 1906837 1972590 2434260 3813674 3945180 5720511 7627348 9534185 11441022 19068370 22882044 28602555 38136740 57205110 114410220