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212094720 = 2833517192
BaseRepresentation
bin11001010010001…
…00111100000000
3112210002112021000
430221010330000
5413244012340
633013532000
75153526645
oct1451047400
9483075230
10212094720
11a97a39a2
125b044000
1334c30446
142024ddcc
1513947d30
hexca44f00

212094720 has 432 divisors, whose sum is σ = 841065120. Its totient is φ = 50429952.

The previous prime is 212094683. The next prime is 212094761. The reversal of 212094720 is 27490212.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11162871 + ... + 11162889.

It is an arithmetic number, because the mean of its divisors is an integer number (1946910).

Almost surely, 2212094720 is an apocalyptic number.

212094720 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 212094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420532560).

212094720 is an abundant number, since it is smaller than the sum of its proper divisors (628970400).

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

212094720 is a wasteful number, since it uses less digits than its factorization.

212094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212094720 is about 14563.4721134762. The cubic root of 212094720 is about 596.3619860066.

The spelling of 212094720 in words is "two hundred twelve million, ninety-four thousand, seven hundred twenty".