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2000300224 = 26132792341
BaseRepresentation
bin111011100111010…
…0010100011000000
312011101220210001111
41313032202203000
513044034101344
6530253213104
7100366162036
oct16716424300
95141823044
102000300224
1193713218a
12479a91194
1325b550c00
1414d936556
15ba921834
hex773a28c0

2000300224 has 84 divisors (see below), whose sum is σ = 4354433760. Its totient is φ = 911139840.

The previous prime is 2000300219. The next prime is 2000300243. The reversal of 2000300224 is 4220030002.

It is a super-2 number, since 2×20003002242 = 8002401972268900352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853294 + ... + 855634.

Almost surely, 22000300224 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 2000300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177216880).

2000300224 is an abundant number, since it is smaller than the sum of its proper divisors (2354133536).

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

2000300224 is a wasteful number, since it uses less digits than its factorization.

2000300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2000300224 is about 44724.7160304009. The cubic root of 2000300224 is about 1259.9840898302.

Adding to 2000300224 its reverse (4220030002), we get a palindrome (6220330226).

The spelling of 2000300224 in words is "two billion, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 169 208 316 338 416 632 676 832 1027 1264 1352 2054 2341 2528 2704 4108 4682 5056 5408 8216 9364 10816 13351 16432 18728 26702 30433 32864 37456 53404 60866 65728 74912 106808 121732 149824 184939 213616 243464 369878 395629 427232 486928 739756 791258 854464 973856 1479512 1582516 1947712 2404207 2959024 3165032 4808414 5918048 6330064 9616828 11836096 12660128 19233656 25320256 31254691 38467312 62509382 76934624 125018764 153869248 250037528 500075056 1000150112 2000300224