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212256660 = 223571145943
BaseRepresentation
bin11001010011011…
…00011110010100
3112210101202101210
430221230132110
5413314203120
633021221420
75155103040
oct1451543624
9483352353
10212256660
11a98a4630
125b101870
1334c89075
1420293020
151397ace0
hexca6c794

212256660 has 96 divisors (see below), whose sum is σ = 740984832. Its totient is φ = 44104320.

The previous prime is 212256587. The next prime is 212256691. The reversal of 212256660 is 66652212.

212256660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18352 + ... + 27591.

It is an arithmetic number, because the mean of its divisors is an integer number (7718592).

Almost surely, 2212256660 is an apocalyptic number.

212256660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212256660 is an abundant number, since it is smaller than the sum of its proper divisors (528728172).

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

212256660 is a wasteful number, since it uses less digits than its factorization.

212256660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45973 (or 45971 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 212256660 is about 14569.0308531487. The cubic root of 212256660 is about 596.5137268441.

The spelling of 212256660 in words is "two hundred twelve million, two hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 45943 91886 137829 183772 229715 275658 321601 459430 505373 551316 643202 689145 918860 964803 1010746 1286404 1378290 1516119 1608005 1929606 2021492 2526865 2756580 3032238 3216010 3537611 3859212 4824015 5053730 6064476 6432020 7075222 7580595 9648030 10107460 10612833 14150444 15161190 17688055 19296060 21225666 30322380 35376110 42451332 53064165 70752220 106128330 212256660