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33230330 = 257273929
BaseRepresentation
bin111111011000…
…0110111111010
32022112021102222
41332300313322
532001332310
63144124042
7552311300
oct176606772
968467388
1033230330
1117837491
12b166622
136b66423
1445b0270
152db6055
hex1fb0dfa

33230330 has 48 divisors (see below), whose sum is σ = 70609320. Its totient is φ = 11225088.

The previous prime is 33230293. The next prime is 33230339. The reversal of 33230330 is 3303233.

33230330 = T231 + T232 + ... + T595.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17698849 + 15531481 = 4207^2 + 3941^2 .

It is a super-2 number, since 2×332303302 = 2208509663817800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33230299 and 33230308.

It is not an unprimeable number, because it can be changed into a prime (33230339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35306 + ... + 36234.

Almost surely, 233230330 is an apocalyptic number.

33230330 is an abundant number, since it is smaller than the sum of its proper divisors (37378990).

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

33230330 is a wasteful number, since it uses less digits than its factorization.

33230330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 17.

The square root of 33230330 is about 5764.5754397007. The cubic root of 33230330 is about 321.4979574135.

Adding to 33230330 its reverse (3303233), we get a palindrome (36533563).

The spelling of 33230330 in words is "thirty-three million, two hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 929 1022 1858 2555 3577 4645 5110 6503 7154 9290 13006 17885 32515 35770 45521 65030 67817 91042 135634 227605 339085 455210 474719 678170 949438 2373595 3323033 4747190 6646066 16615165 33230330