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212245508280 = 233513239569267
BaseRepresentation
bin1100010110101011010…
…0010111000010111000
3202021211202100221220010
43011222310113002320
511434134322231110
6241300525501520
721222433024221
oct3055264270270
9667752327803
10212245508280
1182016068883
12351747118a0
13170262b2a70
14a3b656a248
1557c353d020
hex316ad170b8

212245508280 has 128 divisors (see below), whose sum is σ = 688586572800. Its totient is φ = 52026358272.

The previous prime is 212245508263. The next prime is 212245508281. The reversal of 212245508280 is 82805542212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212245508281) 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, 88207 + ... + 657473.

It is an arithmetic number, because the mean of its divisors is an integer number (5379582600).

Almost surely, 2212245508280 is an apocalyptic number.

212245508280 is a gapful number since it is divisible by the number (20) 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 212245508280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344293286400).

212245508280 is an abundant number, since it is smaller than the sum of its proper divisors (476341064520).

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

212245508280 is a wasteful number, since it uses less digits than its factorization.

212245508280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569533 (or 569529 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 212245508280 in words is "two hundred twelve billion, two hundred forty-five million, five hundred eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 239 260 312 390 478 520 717 780 956 1195 1434 1560 1912 2390 2868 3107 3585 4780 5736 6214 7170 9321 9560 12428 14340 15535 18642 24856 28680 31070 37284 46605 62140 74568 93210 124280 186420 372840 569267 1138534 1707801 2277068 2846335 3415602 4554136 5692670 6831204 7400471 8539005 11385340 13662408 14800942 17078010 22201413 22770680 29601884 34156020 37002355 44402826 59203768 68312040 74004710 88805652 111007065 136054813 148009420 177611304 222014130 272109626 296018840 408164439 444028260 544219252 680274065 816328878 888056520 1088438504 1360548130 1632657756 1768712569 2040822195 2721096260 3265315512 3537425138 4081644390 5306137707 5442192520 7074850276 8163288780 8843562845 10612275414 14149700552 16326577560 17687125690 21224550828 26530688535 35374251380 42449101656 53061377070 70748502760 106122754140 212245508280