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2234313024 = 26343277977
BaseRepresentation
bin1000010100101100…
…1110100101000000
312202201020212021020
42011023032211000
514033441004044
61005413025440
7106240230066
oct20513164500
95681225236
102234313024
11a47236499
12524325280
13297b86818
14172a50036
15d1248a19
hex852ce940

2234313024 has 112 divisors (see below), whose sum is σ = 6077151168. Its totient is φ = 724082688.

The previous prime is 2234313023. The next prime is 2234313047. The reversal of 2234313024 is 4203134322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2234312985 and 2234313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234313023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286424 + ... + 2287400.

Almost surely, 22234313024 is an apocalyptic number.

2234313024 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 2234313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038575584).

2234313024 is an abundant number, since it is smaller than the sum of its proper divisors (3842838144).

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

2234313024 is a wasteful number, since it uses less digits than its factorization.

2234313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2234313024 is about 47268.5204337940. The cubic root of 2234313024 is about 1307.3182954638.

Adding to 2234313024 its reverse (4203134322), we get a palindrome (6437447346).

The spelling of 2234313024 in words is "two billion, two hundred thirty-four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 277 344 516 554 688 831 977 1032 1108 1376 1662 1954 2064 2216 2752 2931 3324 3908 4128 4432 5862 6648 7816 8256 8864 11724 11911 13296 15632 17728 23448 23822 26592 31264 35733 42011 46896 47644 53184 62528 71466 84022 93792 95288 126033 142932 168044 187584 190576 252066 270629 285864 336088 381152 504132 541258 571728 672176 762304 811887 1008264 1082516 1143456 1344352 1623774 2016528 2165032 2286912 2688704 3247548 4033056 4330064 6495096 8066112 8660128 11637047 12990192 17320256 23274094 25980384 34911141 46548188 51960768 69822282 93096376 139644564 186192752 279289128 372385504 558578256 744771008 1117156512 2234313024