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1252226232 = 233273238247
BaseRepresentation
bin100101010100011…
…0111010010111000
310020021021200110100
41022220313102320
510031032214412
6324131315400
743013514225
oct11250672270
93207250410
101252226232
11592938114
122ab44bb60
1316c57bc8a
14bc44694c
1574e04edc
hex4aa374b8

1252226232 has 48 divisors (see below), whose sum is σ = 3437918640. Its totient is φ = 411689088.

The previous prime is 1252226203. The next prime is 1252226303. The reversal of 1252226232 is 2326222521.

1252226232 is a `hidden beast` number, since 12 + 5 + 2 + 22 + 623 + 2 = 666.

It is a super-2 number, since 2×12522262322 = 3136141072217835648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1252226196 and 1252226205.

It is a congruent number.

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, 113868 + ... + 124379.

It is an arithmetic number, because the mean of its divisors is an integer number (71623305).

Almost surely, 21252226232 is an apocalyptic number.

1252226232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1252226232 is an abundant number, since it is smaller than the sum of its proper divisors (2185692408).

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

1252226232 is a wasteful number, since it uses less digits than its factorization.

1252226232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238332 (or 238325 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 1252226232 is about 35386.8087286774. The cubic root of 1252226232 is about 1077.8564686025.

Adding to 1252226232 its reverse (2326222521), we get a palindrome (3578448753).

The spelling of 1252226232 in words is "one billion, two hundred fifty-two million, two hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 238247 476494 714741 952988 1429482 1905976 2144223 2858964 4288446 5717928 8576892 17153784 17392031 34784062 52176093 69568124 104352186 139136248 156528279 208704372 313056558 417408744 626113116 1252226232