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212714880 = 2735731719
BaseRepresentation
bin11001010110111…
…00010110000000
3112211021000221220
430223130112000
5413423334010
633035115040
75162022000
oct1453342600
9484230856
10212714880
11aa087924
125b2a2a80
13350b97c1
1420372000
1513a1b970
hexcadc580

212714880 has 512 divisors, whose sum is σ = 881280000. Its totient is φ = 43352064.

The previous prime is 212714857. The next prime is 212714891. The reversal of 212714880 is 88417212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11195511 + ... + 11195529.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2212714880 is an apocalyptic number.

212714880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

212714880 is an abundant number, since it is smaller than the sum of its proper divisors (668565120).

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

212714880 is a wasteful number, since it uses less digits than its factorization.

212714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 212714880 is about 14584.7481980321. The cubic root of 212714880 is about 596.9426699042.

The spelling of 212714880 in words is "two hundred twelve million, seven hundred fourteen thousand, eight hundred eighty".