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212564660 = 225711831663
BaseRepresentation
bin11001010101101…
…11101010110100
3112210222101220012
430222313222310
5413404032120
633031555352
75160525020
oct1452675264
9483871805
10212564660
11a9a94a80
125b22bb58
1335066309
1420333380
15139dc1c5
hexcab7ab4

212564660 has 96 divisors (see below), whose sum is σ = 563576832. Its totient is φ = 65416320.

The previous prime is 212564659. The next prime is 212564683. The reversal of 212564660 is 66465212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126989 + ... + 128651.

It is an arithmetic number, because the mean of its divisors is an integer number (5870592).

Almost surely, 2212564660 is an apocalyptic number.

212564660 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 212564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281788416).

212564660 is an abundant number, since it is smaller than the sum of its proper divisors (351012172).

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

212564660 is a wasteful number, since it uses less digits than its factorization.

212564660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 212564660 is about 14579.5973881311. The cubic root of 212564660 is about 596.8021158047.

The spelling of 212564660 in words is "two hundred twelve million, five hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 220 308 332 385 415 581 770 830 913 1162 1540 1660 1663 1826 2324 2905 3326 3652 4565 5810 6391 6652 8315 9130 11620 11641 12782 16630 18260 18293 23282 25564 31955 33260 36586 46564 58205 63910 73172 91465 116410 127820 128051 138029 182930 232820 256102 276058 365860 512204 552116 640255 690145 966203 1280510 1380290 1518319 1932406 2561020 2760580 3036638 3864812 4831015 6073276 7591595 9662030 10628233 15183190 19324060 21256466 30366380 42512932 53141165 106282330 212564660