Search a number
-
+
1225343520 = 25325850933
BaseRepresentation
bin100100100001001…
…0100001000100000
310011101200220022100
41021002110020200
510002141443040
6321331210400
742236151042
oct11102241040
93141626270
101225343520
115797467a5
122a2446a00
13166b28b4b
14b8a49a92
1572894b30
hex49094220

1225343520 has 72 divisors (see below), whose sum is σ = 4181489676. Its totient is φ = 326757888.

The previous prime is 1225343513. The next prime is 1225343531. The reversal of 1225343520 is 253435221.

It is a happy number.

1225343520 is a `hidden beast` number, since 1 + 225 + 3 + 435 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1225280016 + 63504 = 35004^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 424027 + ... + 426906.

Almost surely, 21225343520 is an apocalyptic number.

1225343520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225343520 is an abundant number, since it is smaller than the sum of its proper divisors (2956146156).

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

1225343520 is a wasteful number, since it uses less digits than its factorization.

1225343520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850954 (or 850943 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1225343520 is about 35004.9070845789. The cubic root of 1225343520 is about 1070.0874881152.

Adding to 1225343520 its reverse (253435221), we get a palindrome (1478778741).

The spelling of 1225343520 in words is "one billion, two hundred twenty-five million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 850933 1701866 2552799 3403732 4254665 5105598 6807464 7658397 8509330 10211196 12763995 13614928 15316794 17018660 20422392 25527990 27229856 30633588 34037320 38291985 40844784 51055980 61267176 68074640 76583970 81689568 102111960 122534352 136149280 153167940 204223920 245068704 306335880 408447840 612671760 1225343520