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212071464 = 2332111719829
BaseRepresentation
bin11001010001111…
…11010000101000
3112210001100100200
430220333100220
5413242241324
633013232200
75153402103
oct1450772050
9483040320
10212071464
11a9788480
125b032660
1334c22997
142024573a
1513940ec9
hexca3f428

212071464 has 192 divisors, whose sum is σ = 699192000. Its totient is φ = 57231360.

The previous prime is 212071451. The next prime is 212071493. The reversal of 212071464 is 464170212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255402 + ... + 256230.

It is an arithmetic number, because the mean of its divisors is an integer number (3641625).

Almost surely, 2212071464 is an apocalyptic number.

212071464 is a gapful number since it is divisible by the number (24) 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 212071464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349596000).

212071464 is an abundant number, since it is smaller than the sum of its proper divisors (487120536).

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

212071464 is a wasteful number, since it uses less digits than its factorization.

212071464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212071464 is about 14562.6736556170. The cubic root of 212071464 is about 596.3401883537.

The spelling of 212071464 in words is "two hundred twelve million, seventy-one thousand, four hundred sixty-four".