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212330333148 = 223192389126001
BaseRepresentation
bin1100010110111111011…
…1111100001111011100
3202022001122222111201220
43011233313330033130
511434323031130043
6241313155533340
721224513024103
oct3055767741734
9668048874656
10212330333148
1182059a34a7a
1235198bba250
131703aa422ab
14a3c392b03a
1557cabe6483
hex316fdfc3dc

212330333148 has 72 divisors (see below), whose sum is σ = 524233841040. Its totient is φ = 66878784000.

The previous prime is 212330333147. The next prime is 212330333249. The reversal of 212330333148 is 841333033212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212330333147) 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, 1622148 + ... + 1748148.

It is an arithmetic number, because the mean of its divisors is an integer number (7281025570).

Almost surely, 2212330333148 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 212330333148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262116920520).

212330333148 is an abundant number, since it is smaller than the sum of its proper divisors (311903507892).

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

212330333148 is a wasteful number, since it uses less digits than its factorization.

212330333148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126435 (or 126414 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 212330333148 in words is "two hundred twelve billion, three hundred thirty million, three hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 389 722 778 1083 1167 1444 1556 2166 2334 4332 4668 7391 14782 22173 29564 44346 88692 126001 140429 252002 280858 378003 421287 504004 561716 756006 842574 1512012 1685148 2394019 4788038 7182057 9576076 14364114 28728228 45486361 49014389 90972722 98028778 136459083 147043167 181945444 196057556 272918166 294086334 545836332 588172668 931273391 1862546782 2793820173 3725093564 5587640346 11175280692 17694194429 35388388858 53082583287 70776777716 106165166574 212330333148