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212860116 = 223372192973
BaseRepresentation
bin11001010111111…
…11110011010100
3112211112102012000
430223333303110
5413443010431
633042155300
75163165300
oct1453776324
9484472160
10212860116
11aa176a57
125b352b30
133513a941
14203acd00
1513a499e6
hexcaffcd4

212860116 has 288 divisors, whose sum is σ = 708624000. Its totient is φ = 54867456.

The previous prime is 212860103. The next prime is 212860157. The reversal of 212860116 is 611068212.

212860116 is a `hidden beast` number, since 21 + 28 + 601 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 212860116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2915856 + ... + 2915928.

It is an arithmetic number, because the mean of its divisors is an integer number (2460500).

Almost surely, 2212860116 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 212860116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312000).

212860116 is an abundant number, since it is smaller than the sum of its proper divisors (495763884).

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

212860116 is a wasteful number, since it uses less digits than its factorization.

212860116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

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

The square root of 212860116 is about 14589.7263853713. The cubic root of 212860116 is about 597.0784977966.

The spelling of 212860116 in words is "two hundred twelve million, eight hundred sixty thousand, one hundred sixteen".