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212470016 = 2811197383
BaseRepresentation
bin11001010101000…
…00100100000000
3112210210121001212
430222200210000
5413343020031
633025545252
75156652053
oct1452404400
9483717055
10212470016
11a9a2a960
125b1a5228
1335032205
142030aa9a
15139be12b
hexcaa0900

212470016 has 72 divisors (see below), whose sum is σ = 466228224. Its totient is φ = 95836160.

The previous prime is 212470003. The next prime is 212470051. The reversal of 212470016 is 610074212.

It is a super-3 number, since 3×2124700163 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212469973 and 212470000.

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, 554561 + ... + 554943.

It is an arithmetic number, because the mean of its divisors is an integer number (6475392).

Almost surely, 2212470016 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 212470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

212470016 is an abundant number, since it is smaller than the sum of its proper divisors (253758208).

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

212470016 is a wasteful number, since it uses less digits than its factorization.

212470016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 212470016 is about 14576.3512581167. The cubic root of 212470016 is about 596.7135276631.

The spelling of 212470016 in words is "two hundred twelve million, four hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 197 256 352 383 394 704 766 788 1408 1532 1576 2167 2816 3064 3152 4213 4334 6128 6304 8426 8668 12256 12608 16852 17336 24512 25216 33704 34672 49024 50432 67408 69344 75451 98048 134816 138688 150902 269632 277376 301804 539264 554752 603608 829961 1078528 1207216 1659922 2414432 3319844 4828864 6639688 9657728 13279376 19315456 26558752 53117504 106235008 212470016