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2141300224 = 2972292609
BaseRepresentation
bin111111110100001…
…1010011000000000
312112020020022200201
41333220122120000
513341133101344
6552251254544
7104030515540
oct17750323000
95466208621
102141300224
119a9787608
124b914a454
1328181b46b
1416455b320
15c7ec44d4
hex7fa1a600

2141300224 has 80 divisors (see below), whose sum is σ = 4912855200. Its totient is φ = 913342464.

The previous prime is 2141300221. The next prime is 2141300237. The reversal of 2141300224 is 4220031412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141300221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819432 + ... + 822040.

It is an arithmetic number, because the mean of its divisors is an integer number (61410690).

Almost surely, 22141300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456427600).

2141300224 is an abundant number, since it is smaller than the sum of its proper divisors (2771554976).

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

2141300224 is an equidigital number, since it uses as much as digits as its factorization.

2141300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2141300224 is about 46274.1852872636. The cubic root of 2141300224 is about 1288.9196780244.

Adding to 2141300224 its reverse (4220031412), we get a palindrome (6361331636).

The spelling of 2141300224 in words is "two billion, one hundred forty-one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 448 458 512 896 916 1603 1792 1832 2609 3206 3584 3664 5218 6412 7328 10436 12824 14656 18263 20872 25648 29312 36526 41744 51296 58624 73052 83488 102592 117248 146104 166976 205184 292208 333952 410368 584416 597461 667904 820736 1168832 1194922 1335808 2337664 2389844 4182227 4675328 4779688 8364454 9350656 9559376 16728908 19118752 33457816 38237504 66915632 76475008 133831264 152950016 267662528 305900032 535325056 1070650112 2141300224