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212880906 = 23373137491
BaseRepresentation
bin11001011000001…
…00111000001010
3112211120110201000
430230010320022
5413444142111
633042435430
75163313020
oct1454047012
9484513630
10212880906
11aa190637
125b362b76
1335147244
14203b6710
1513a50c56
hexcb04e0a

212880906 has 128 divisors (see below), whose sum is σ = 574341120. Its totient is φ = 57153600.

The previous prime is 212880859. The next prime is 212880923. The reversal of 212880906 is 609088212.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433321 + ... + 433811.

It is an arithmetic number, because the mean of its divisors is an integer number (4487040).

Almost surely, 2212880906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212880906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287170560).

212880906 is an abundant number, since it is smaller than the sum of its proper divisors (361460214).

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

212880906 is a wasteful number, since it uses less digits than its factorization.

212880906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 212880906 is about 14590.4388556342. The cubic root of 212880906 is about 597.0979360049.

The spelling of 212880906 in words is "two hundred twelve million, eight hundred eighty thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 37 42 54 62 63 74 93 111 126 186 189 217 222 259 279 333 378 434 491 518 558 651 666 777 837 982 999 1147 1302 1473 1554 1674 1953 1998 2294 2331 2946 3437 3441 3906 4419 4662 5859 6874 6882 6993 8029 8838 10311 10323 11718 13257 13986 15221 16058 18167 20622 20646 24087 26514 30442 30933 30969 36334 45663 48174 54501 61866 61938 72261 91326 92799 106547 109002 127169 136989 144522 163503 185598 213094 216783 254338 273978 319641 327006 381507 410967 433566 490509 563177 639282 763014 821934 958923 981018 1126354 1144521 1689531 1917846 2289042 2876769 3379062 3433563 3942239 5068593 5753538 6867126 7884478 10137186 11826717 15205779 23653434 30411558 35480151 70960302 106440453 212880906