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1228406130 = 232572119241
BaseRepresentation
bin100100100110111…
…1111110101110010
310011121110111102100
41021031333311302
510003432444010
6321521001230
742304164660
oct11115776562
93147414370
101228406130
11580448786
122a3483216
1316765bb43
14b9205c30
1572c9c2c0
hex4937fd72

1228406130 has 96 divisors (see below), whose sum is σ = 3667817088. Its totient is φ = 279417600.

The previous prime is 1228406087. The next prime is 1228406131. The reversal of 1228406130 is 316048221.

1228406130 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 40 + 613 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1228406094 and 1228406103.

It is not an unprimeable number, because it can be changed into a prime (1228406131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 128310 + ... + 137550.

It is an arithmetic number, because the mean of its divisors is an integer number (38206428).

Almost surely, 21228406130 is an apocalyptic number.

1228406130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228406130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833908544).

1228406130 is an abundant number, since it is smaller than the sum of its proper divisors (2439410958).

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

1228406130 is a wasteful number, since it uses less digits than its factorization.

1228406130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1228406130 is about 35048.6252226817. The cubic root of 1228406130 is about 1070.9782679906.

The spelling of 1228406130 in words is "one billion, two hundred twenty-eight million, four hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 211 315 422 630 633 1055 1266 1477 1899 2110 2954 3165 3798 4431 6330 7385 8862 9241 9495 13293 14770 18482 18990 22155 26586 27723 44310 46205 55446 64687 66465 83169 92410 129374 132930 138615 166338 194061 277230 323435 388122 415845 582183 646870 831690 970305 1164366 1940610 1949851 2910915 3899702 5821830 5849553 9749255 11699106 13648957 17548659 19498510 27297914 29247765 35097318 40946871 58495530 68244785 81893742 87743295 122840613 136489570 175486590 204734355 245681226 409468710 614203065 1228406130