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212265870520 = 235111543931247
BaseRepresentation
bin1100010110110000001…
…0000010010010111000
3202021220011200110122011
43011230002002102320
511434210030324040
6241302534135304
721223101062314
oct3055402022270
9667804613564
10212265870520
1182026606280
123517b4b1534
131702a592022
14a3b914ab44
1557c52113ea
hex316c0824b8

212265870520 has 64 divisors (see below), whose sum is σ = 521066649600. Its totient is φ = 77180119680.

The previous prime is 212265870497. The next prime is 212265870569. The reversal of 212265870520 is 25078562212.

212265870520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122658705202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6777537 + ... + 6808783.

It is an arithmetic number, because the mean of its divisors is an integer number (8141666400).

Almost surely, 2212265870520 is an apocalyptic number.

212265870520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212265870520 is an abundant number, since it is smaller than the sum of its proper divisors (308800779080).

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

212265870520 is a wasteful number, since it uses less digits than its factorization.

212265870520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46708 (or 46704 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 212265870520 in words is "two hundred twelve billion, two hundred sixty-five million, eight hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 15439 30878 31247 61756 62494 77195 123512 124988 154390 156235 169829 249976 308780 312470 339658 343717 617560 624940 679316 687434 849145 1249880 1358632 1374868 1698290 1718585 2749736 3396580 3437170 6793160 6874340 13748680 482422433 964844866 1929689732 2412112165 3859379464 4824224330 5306646763 9648448660 10613293526 19296897320 21226587052 26533233815 42453174104 53066467630 106132935260 212265870520