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33212010148 = 2241672197229
BaseRepresentation
bin11110111011100101…
…110000111010100100
310011201121020220221221
4132323211300322210
51021004233311043
623131332350124
72254011266632
oct367345607244
9104647226857
1033212010148
11130a334a879
12652a775344
13319397a415
141870c7c352
15ce5aea8ed
hex7bb970ea4

33212010148 has 72 divisors (see below), whose sum is σ = 61012579320. Its totient is φ = 15808826880.

The previous prime is 33212010133. The next prime is 33212010149. The reversal of 33212010148 is 84101021233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13528481344 + 19683528804 = 116312^2 + 140298^2 .

It is a super-2 number, since 2×332120101482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33212010149) 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, 145030498 + ... + 145030726.

It is an arithmetic number, because the mean of its divisors is an integer number (847396935).

Almost surely, 233212010148 is an apocalyptic number.

It is an amenable number.

33212010148 is a deficient number, since it is larger than the sum of its proper divisors (27800569172).

33212010148 is a wasteful number, since it uses less digits than its factorization.

33212010148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 33212010148 in words is "thirty-three billion, two hundred twelve million, ten thousand, one hundred forty-eight".

Divisors: 1 2 4 41 67 82 134 164 197 229 268 394 458 788 916 2747 4489 5494 8077 8978 9389 10988 13199 15343 16154 17956 18778 26398 30686 32308 37556 45113 52796 61372 90226 180452 184049 368098 541159 629063 736196 884333 1027981 1082318 1258126 1768666 1849633 2055962 2164636 2516252 3022571 3537332 3699266 4111924 6045142 7398532 12090284 36257653 42147221 72515306 84294442 123925411 145030612 168588884 202512257 247850822 405024514 495701644 810049028 8303002537 16606005074 33212010148