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1224104200 = 235211412331
BaseRepresentation
bin100100011110110…
…0101100100001000
310011022100221021121
41020331211210020
510001332313300
6321244445024
742222466624
oct11075454410
93138327247
101224104200
11578a7a670
122a1b49774
131667b3a17
14b8806184
15726ec81a
hex48f65908

1224104200 has 144 divisors (see below), whose sum is σ = 3191960880. Its totient is φ = 432960000.

The previous prime is 1224104191. The next prime is 1224104201. The reversal of 1224104200 is 24014221.

It is not an unprimeable number, because it can be changed into a prime (1224104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3698035 + ... + 3698365.

It is an arithmetic number, because the mean of its divisors is an integer number (22166395).

Almost surely, 21224104200 is an apocalyptic number.

1224104200 is a gapful number since it is divisible by the number (10) 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 1224104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595980440).

1224104200 is an abundant number, since it is smaller than the sum of its proper divisors (1967856680).

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

1224104200 is a wasteful number, since it uses less digits than its factorization.

1224104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1224104200 is about 34987.2005167604. The cubic root of 1224104200 is about 1069.7266020568.

Adding to 1224104200 its reverse (24014221), we get a palindrome (1248118421).

The spelling of 1224104200 in words is "one billion, two hundred twenty-four million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 331 410 440 451 550 662 820 902 1025 1100 1324 1640 1655 1681 1804 2050 2200 2255 2648 3310 3362 3608 3641 4100 4510 6620 6724 7282 8200 8275 8405 9020 11275 13240 13448 13571 14564 16550 16810 18040 18205 18491 22550 27142 29128 33100 33620 36410 36982 42025 45100 54284 66200 67240 67855 72820 73964 84050 90200 91025 92455 108568 135710 145640 147928 149281 168100 182050 184910 271420 298562 336200 339275 364100 369820 462275 542840 556411 597124 678550 728200 739640 746405 924550 1112822 1194248 1357100 1492810 1849100 2225644 2714200 2782055 2985620 3698200 3732025 4451288 5564110 5971240 6120521 7464050 11128220 12241042 13910275 14928100 22256440 24482084 27820550 29856200 30602605 48964168 55641100 61205210 111282200 122410420 153013025 244820840 306026050 612052100 1224104200