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220114944 = 212327853
BaseRepresentation
bin11010001111010…
…11000000000000
3120100011222221100
431013223000000
5422322134234
633501454400
75311642350
oct1507530000
9510158840
10220114944
11103281685
1261871400
13367aab3a
142133ab60
15144ce399
hexd1eb000

220114944 has 156 divisors (see below), whose sum is σ = 727491856. Its totient is φ = 62816256.

The previous prime is 220114933. The next prime is 220114949. The reversal of 220114944 is 449411022.

It is a happy number.

220114944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220114949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257622 + ... + 258474.

Almost surely, 2220114944 is an apocalyptic number.

220114944 is a gapful number since it is divisible by the number (24) 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 220114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363745928).

220114944 is an abundant number, since it is smaller than the sum of its proper divisors (507376912).

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

220114944 is an equidigital number, since it uses as much as digits as its factorization.

220114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220114944 is about 14836.2712296588. The cubic root of 220114944 is about 603.7861910072.

Adding to 220114944 its reverse (449411022), we get a palindrome (669525966).

The spelling of 220114944 in words is "two hundred twenty million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 853 896 1008 1024 1152 1344 1536 1706 1792 2016 2048 2304 2559 2688 3072 3412 3584 4032 4096 4608 5118 5376 5971 6144 6824 7168 7677 8064 9216 10236 10752 11942 12288 13648 14336 15354 16128 17913 18432 20472 21504 23884 27296 28672 30708 32256 35826 36864 40944 43008 47768 53739 54592 61416 64512 71652 81888 86016 95536 107478 109184 122832 129024 143304 163776 191072 214956 218368 245664 258048 286608 327552 382144 429912 436736 491328 573216 655104 764288 859824 873472 982656 1146432 1310208 1528576 1719648 1746944 1965312 2292864 2620416 3057152 3439296 3493888 3930624 4585728 5240832 6114304 6878592 7861248 9171456 10481664 12228608 13757184 15722496 18342912 24457216 27514368 31444992 36685824 55028736 73371648 110057472 220114944