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33233020212 = 223711313032687
BaseRepresentation
bin11110111100110101…
…111010010100110100
310011210001210100100110
4132330311322110310
51021030123121322
623133402543020
72254355003520
oct367465722464
9104701710313
1033233020212
111310419aa67
126535807a70
133198125502
14187398ad80
15ce789ac0c
hex7bcd7a534

33233020212 has 96 divisors (see below), whose sum is σ = 89507561472. Its totient is φ = 9400398336.

The previous prime is 33233020199. The next prime is 33233020217. The reversal of 33233020212 is 21202033233.

It is a super-2 number, since 2×332330202122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33233020217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12366733 + ... + 12369419.

It is an arithmetic number, because the mean of its divisors is an integer number (932370432).

Almost surely, 233233020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33233020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44753780736).

33233020212 is an abundant number, since it is smaller than the sum of its proper divisors (56274541260).

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

33233020212 is a wasteful number, since it uses less digits than its factorization.

33233020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33233020212 its reverse (21202033233), we get a palindrome (54435053445).

The spelling of 33233020212 in words is "thirty-three billion, two hundred thirty-three million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1303 1356 1582 2373 2606 2687 3164 3909 4746 5212 5374 7818 8061 9121 9492 10748 15636 16122 18242 18809 27363 32244 36484 37618 54726 56427 75236 109452 112854 147239 225708 294478 303631 441717 588956 607262 883434 910893 1030673 1214524 1766868 1821786 2061346 2125417 3092019 3501161 3643572 4122692 4250834 6184038 6376251 7002322 8501668 10503483 12368076 12752502 14004644 21006966 24508127 25505004 42013932 49016254 73524381 98032508 147048762 294097524 395631193 791262386 1186893579 1582524772 2373787158 2769418351 4747574316 5538836702 8308255053 11077673404 16616510106 33233020212