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213271808 = 2819163269
BaseRepresentation
bin11001011011001…
…00010100000000
3112212022022220212
430231210110000
5414044144213
633055053252
75166531461
oct1455442400
9485268825
10213271808
11aa4282a2
125b511228
1335253149
1420478d68
1513acb9a8
hexcb64500

213271808 has 72 divisors (see below), whose sum is σ = 452541600. Its totient is φ = 100030464.

The previous prime is 213271781. The next prime is 213271813. The reversal of 213271808 is 808172312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792698 + ... + 792966.

It is an arithmetic number, because the mean of its divisors is an integer number (6285300).

Almost surely, 2213271808 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 213271808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226270800).

213271808 is an abundant number, since it is smaller than the sum of its proper divisors (239269792).

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

213271808 is a wasteful number, since it uses less digits than its factorization.

213271808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 213271808 is about 14603.8285391195. The cubic root of 213271808 is about 597.4631857012.

The spelling of 213271808 in words is "two hundred thirteen million, two hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 163 256 269 304 326 538 608 652 1076 1216 1304 2152 2432 2608 3097 4304 4864 5111 5216 6194 8608 10222 10432 12388 17216 20444 20864 24776 34432 40888 41728 43847 49552 68864 81776 87694 99104 163552 175388 198208 327104 350776 396416 654208 701552 792832 833093 1308416 1403104 1666186 2806208 3332372 5612416 6664744 11224832 13329488 26658976 53317952 106635904 213271808