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1223888627025 = 325213125632
BaseRepresentation
bin10001110011110101011…
…100100110010101010001
311100000001220101002200100
4101303311130212111101
5130023010442031100
62334125140443013
7154265046452661
oct21636534462521
94300056332610
101223888627025
11432059250159
121792459a9469
138b5487baa7c
14433450521a1
1521c8202c400
hex11cf5726551

1223888627025 has 81 divisors (see below), whose sum is σ = 2212912562107. Its totient is φ = 646607301600.

The previous prime is 1223888626997. The next prime is 1223888627029. The reversal of 1223888627025 is 5207268883221.

The square root of 1223888627025 is 1106295.

It is a perfect power (a square), and thus also a powerful number.

1223888627025 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 8 + 8 + 8 + 627 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440599905729 + 783288721296 = 663777^2 + 885036^2 .

It is not a de Polignac number, because 1223888627025 - 25 = 1223888626993 is a prime.

It is a super-2 number, since 2×12238886270252 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223888627029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2173869394 + ... + 2173869956.

Almost surely, 21223888627025 is an apocalyptic number.

1223888627025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1223888627025 is the 1106295-th square number.

1223888627025 is the 553148-th centered octagonal number.

It is an amenable number.

1223888627025 is a deficient number, since it is larger than the sum of its proper divisors (989023935082).

1223888627025 is an frugal number, since it uses more digits than its factorization.

1223888627025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1223888627025 in words is "one trillion, two hundred twenty-three billion, eight hundred eighty-eight million, six hundred twenty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 131 225 393 563 655 1179 1689 1965 2815 3275 5067 5895 8445 9825 14075 17161 25335 29475 42225 51483 73753 85805 126675 154449 221259 257415 316969 368765 429025 663777 772245 950907 1106295 1287075 1584845 1843825 2852721 3318885 3861225 4754535 5531475 7924225 9661643 14263605 16594425 23772675 28984929 41522939 48308215 71318025 86954787 124568817 144924645 207614695 241541075 373706451 434773935 622844085 724623225 1038073475 1868532255 2173869675 3114220425 5439505009 9342661275 16318515027 27197525045 48955545081 81592575135 135987625225 244777725405 407962875675 1223888627025