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224620420400 = 24521493768799
BaseRepresentation
bin1101000100110001101…
…0111001110100110000
3210110210011221121222122
43101030122321310300
512140010311423100
6251104511053412
722141206033215
oct3211432716460
9713704847878
10224620420400
118729640a482
1237648b11268
131824901397c
14ac2bc9bb0c
155c99b68985
hex344c6b9d30

224620420400 has 60 divisors (see below), whose sum is σ = 543272520000. Its totient is φ = 89245136640.

The previous prime is 224620420363. The next prime is 224620420417. The reversal of 224620420400 is 4024026422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 224620420400.

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, 1824800 + ... + 1943999.

It is an arithmetic number, because the mean of its divisors is an integer number (9054542000).

Almost surely, 2224620420400 is an apocalyptic number.

224620420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224620420400 is an abundant number, since it is smaller than the sum of its proper divisors (318652099600).

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

224620420400 is a wasteful number, since it uses less digits than its factorization.

224620420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768966 (or 3768955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 224620420400 its reverse (4024026422), we get a palindrome (228644446822).

The spelling of 224620420400 in words is "two hundred twenty-four billion, six hundred twenty million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 3768799 7537598 15075196 18843995 30150392 37687990 60300784 75375980 94219975 150751960 188439950 301503920 376879900 561551051 753759800 1123102102 1507519600 2246204204 2807755255 4492408408 5615510510 8984816816 11231021020 14038776275 22462042040 28077552550 44924084080 56155105100 112310210200 224620420400