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827220212 = 227132638641
BaseRepresentation
bin110001010011100…
…110000011110100
32010122120010210122
4301103212003310
53143232021322
6214030111112
726333153510
oct6123460364
92118503718
10827220212
11394a42875
121b104b498
131024c3820
147bc13140
154c952442
hex314e60f4

827220212 has 48 divisors (see below), whose sum is σ = 1788686592. Its totient is φ = 325969920.

The previous prime is 827220193. The next prime is 827220239. The reversal of 827220212 is 212022728.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 91412 + ... + 100052.

It is an arithmetic number, because the mean of its divisors is an integer number (37264304).

Almost surely, 2827220212 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 827220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894343296).

827220212 is an abundant number, since it is smaller than the sum of its proper divisors (961466380).

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

827220212 is a wasteful number, since it uses less digits than its factorization.

827220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 827220212 is about 28761.4361950164. The cubic root of 827220212 is about 938.7293121872.

The spelling of 827220212 in words is "eight hundred twenty-seven million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 263 364 526 1052 1841 3419 3682 6838 7364 8641 13676 17282 23933 34564 47866 60487 95732 112333 120974 224666 241948 449332 786331 1572662 2272583 3145324 4545166 9090332 15908081 29543579 31816162 59087158 63632324 118174316 206805053 413610106 827220212