Search a number
-
+
1036223825 = 527213312099
BaseRepresentation
bin111101110000111…
…000010101010001
32200012211121212012
4331300320111101
54110233130300
6250453512305
734451520500
oct7560702521
92605747765
101036223825
11491a1532a
1224b042695
131368b0cc0
149b89a837
1560e89435
hex3dc38551

1036223825 has 72 divisors (see below), whose sum is σ = 1662393600. Its totient is φ = 634435200.

The previous prime is 1036223821. The next prime is 1036223833. The reversal of 1036223825 is 5283226301.

1036223825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1036223825 - 22 = 1036223821 is a prime.

It is a super-3 number, since 3×10362238253 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1036223791 and 1036223800.

It is not an unprimeable number, because it can be changed into a prime (1036223821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492626 + ... + 494724.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 21036223825 is an apocalyptic number.

It is an amenable number.

1036223825 is a deficient number, since it is larger than the sum of its proper divisors (626169775).

1036223825 is a wasteful number, since it uses less digits than its factorization.

1036223825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1036223825 is about 32190.4306432828. The cubic root of 1036223825 is about 1011.9316771952.

The spelling of 1036223825 in words is "one billion, thirty-six million, two hundred twenty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 31 35 49 65 91 155 175 217 245 325 403 455 637 775 1085 1225 1519 2015 2099 2275 2821 3185 5425 7595 10075 10495 14105 14693 15925 19747 27287 37975 52475 65069 70525 73465 98735 102851 136435 191009 325345 367325 455483 493675 514255 682175 845897 955045 1337063 1626725 2277415 2571275 3188381 4229485 4775225 5921279 6685315 11387075 15941905 21147425 29606395 33426575 41448953 79709525 148031975 207244765 1036223825