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212681016 = 233217473697
BaseRepresentation
bin11001010110101…
…00000100111000
3112211012022111200
430223110010320
5413421243031
633034254200
75161521162
oct1453240470
9484168450
10212681016
11aa064439
125b287360
13350a7272
1420363932
1513a118e6
hexcad4138

212681016 has 96 divisors (see below), whose sum is σ = 623039040. Its totient is φ = 65286144.

The previous prime is 212680991. The next prime is 212681039. The reversal of 212681016 is 610186212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55680 + ... + 59376.

It is an arithmetic number, because the mean of its divisors is an integer number (6489990).

Almost surely, 2212681016 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 212681016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311519520).

212681016 is an abundant number, since it is smaller than the sum of its proper divisors (410358024).

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

212681016 is a wasteful number, since it uses less digits than its factorization.

212681016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212681016 is about 14583.5872130282. The cubic root of 212681016 is about 596.9109906607.

The spelling of 212681016 in words is "two hundred twelve million, six hundred eighty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 47 51 68 72 94 102 136 141 153 188 204 282 306 376 408 423 564 612 799 846 1128 1224 1598 1692 2397 3196 3384 3697 4794 6392 7191 7394 9588 11091 14382 14788 19176 22182 28764 29576 33273 44364 57528 62849 66546 88728 125698 133092 173759 188547 251396 266184 347518 377094 502792 521277 565641 695036 754188 1042554 1131282 1390072 1508376 1563831 2085108 2262564 2953903 3127662 4170216 4525128 5907806 6255324 8861709 11815612 12510648 17723418 23631224 26585127 35446836 53170254 70893672 106340508 212681016