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1332333132 = 2231324431483
BaseRepresentation
bin100111101101001…
…1100101001001100
310102212000112110120
41033122130221030
510212034130012
6340112304540
745005434104
oct11732345114
93385015416
101332333132
11624081669
12312242150
13183048c00
14c8d3a204
157be7a58c
hex4f69ca4c

1332333132 has 72 divisors (see below), whose sum is σ = 3376183104. Its totient is φ = 408747456.

The previous prime is 1332333131. The next prime is 1332333137. The reversal of 1332333132 is 2313332331.

1332333132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13323331322 = 3550223149249858848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1332333131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897663 + ... + 899145.

It is an arithmetic number, because the mean of its divisors is an integer number (46891432).

Almost surely, 21332333132 is an apocalyptic number.

1332333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688091552).

1332333132 is an abundant number, since it is smaller than the sum of its proper divisors (2043849972).

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

1332333132 is a wasteful number, since it uses less digits than its factorization.

1332333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1944 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 1332333132 is about 36501.1387767560. The cubic root of 1332333132 is about 1100.3671314486.

Adding to 1332333132 its reverse (2313332331), we get a palindrome (3645665463).

The spelling of 1332333132 in words is "one billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 443 507 676 886 1014 1329 1483 1772 2028 2658 2966 4449 5316 5759 5932 8898 11518 17277 17796 19279 23036 34554 38558 57837 69108 74867 77116 115674 149734 224601 231348 250627 299468 449202 501254 656969 751881 898404 1002508 1313938 1503762 1970907 2627876 3007524 3941814 7883628 8540597 17081194 25621791 34162388 51243582 102487164 111027761 222055522 333083283 444111044 666166566 1332333132