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225421123400 = 235211711443157
BaseRepresentation
bin1101000111110000100…
…1010101111101001000
3210112211222121120000022
43101330021111331020
512143130301422100
6251320153000012
722200100635254
oct3217411257510
9715758546008
10225421123400
11876673904a0
12378310b3008
1318345b81825
14aca636b264
155ce50cde85
hex347c255f48

225421123400 has 96 divisors (see below), whose sum is σ = 579803158080. Its totient is φ = 80816736000.

The previous prime is 225421123387. The next prime is 225421123441. The reversal of 225421123400 is 4321124522.

225421123400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225421123400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565379 + ... + 877778.

It is an arithmetic number, because the mean of its divisors is an integer number (6039616230).

Almost surely, 2225421123400 is an apocalyptic number.

225421123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225421123400 is an abundant number, since it is smaller than the sum of its proper divisors (354382034680).

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

225421123400 is a wasteful number, since it uses less digits than its factorization.

225421123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443255 (or 1443246 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 225421123400 its reverse (4321124522), we get a palindrome (229742247922).

The spelling of 225421123400 in words is "two hundred twenty-five billion, four hundred twenty-one million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1420 1562 1775 2200 2840 3124 3550 3905 6248 7100 7810 14200 15620 19525 31240 39050 78100 156200 1443157 2886314 5772628 7215785 11545256 14431570 15874727 28863140 31749454 36078925 57726280 63498908 72157850 79373635 102464147 126997816 144315700 158747270 204928294 288631400 317494540 396868175 409856588 512320735 634989080 793736350 819713176 1024641470 1127105617 1587472700 2049282940 2254211234 2561603675 3174945400 4098565880 4508422468 5123207350 5635528085 9016844936 10246414700 11271056170 20492829400 22542112340 28177640425 45084224680 56355280850 112710561700 225421123400