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1225478916 = 2233233071607
BaseRepresentation
bin100100100001011…
…0101001100000100
310011101221210001000
41021002311030010
510002210311131
6321334133300
742240253554
oct11102651404
93141853030
101225478916
115798294a2
122a24b1230
13166b7566c
14b8a83164
15728bece6
hex490b5304

1225478916 has 96 divisors (see below), whose sum is σ = 3328174080. Its totient is φ = 389217312.

The previous prime is 1225478909. The next prime is 1225478921. The reversal of 1225478916 is 6198745221.

1225478916 is a `hidden beast` number, since 1 + 22 + 547 + 89 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761785 + ... + 763391.

It is an arithmetic number, because the mean of its divisors is an integer number (34668480).

Almost surely, 21225478916 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 1225478916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664087040).

1225478916 is an abundant number, since it is smaller than the sum of its proper divisors (2102695164).

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

1225478916 is a wasteful number, since it uses less digits than its factorization.

1225478916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1942 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1225478916 is about 35006.8409885839. The cubic root of 1225478916 is about 1070.1269002548.

The spelling of 1225478916 in words is "one billion, two hundred twenty-five million, four hundred seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 307 414 614 621 828 921 1228 1242 1607 1842 2484 2763 3214 3684 4821 5526 6428 7061 8289 9642 11052 14122 14463 16578 19284 21183 28244 28926 33156 36961 42366 43389 57852 63549 73922 84732 86778 110883 127098 147844 173556 190647 221766 254196 332649 381294 443532 493349 665298 762588 986698 997947 1330596 1480047 1973396 1995894 2960094 3991788 4440141 5920188 8880282 11347027 13320423 17760564 22694054 26640846 34041081 45388108 53281692 68082162 102123243 136164324 204246486 306369729 408492972 612739458 1225478916