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1225161760 = 25537206953
BaseRepresentation
bin100100100000110…
…0111110000100000
310011101100122222111
41021001213300200
510002120134020
6321323245104
742234463114
oct11101476040
93141318874
101225161760
11579632189
122a2379794
13166a941b4
14b89dd744
157285ad5a
hex49067c20

1225161760 has 48 divisors (see below), whose sum is σ = 2972687256. Its totient is φ = 476817408.

The previous prime is 1225161739. The next prime is 1225161767. The reversal of 1225161760 is 671615221.

It can be written as a sum of positive squares in 4 ways, for example, as 897841296 + 327320464 = 29964^2 + 18092^2 .

It is a super-3 number, since 3×12251617603 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225161767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97557 + ... + 109396.

Almost surely, 21225161760 is an apocalyptic number.

1225161760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225161760 is an abundant number, since it is smaller than the sum of its proper divisors (1747525496).

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

1225161760 is a wasteful number, since it uses less digits than its factorization.

1225161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207005 (or 206997 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1225161760 is about 35002.3107808613. The cubic root of 1225161760 is about 1070.0345754105.

Adding to 1225161760 its reverse (671615221), we get a palindrome (1896776981).

The spelling of 1225161760 in words is "one billion, two hundred twenty-five million, one hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 206953 413906 827812 1034765 1655624 2069530 3311248 4139060 6622496 7657261 8278120 15314522 16556240 30629044 33112480 38286305 61258088 76572610 122516176 153145220 245032352 306290440 612580880 1225161760