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84217212 = 22335314713
BaseRepresentation
bin1010000010100…
…00110101111100
312212110200022000
411001100311330
5133024422322
612205022300
72041556142
oct501206574
9185420260
1084217212
11435a1702
1224254990
13145a8a91
14b283592
1575d83ac
hex5050d7c

84217212 has 48 divisors (see below), whose sum is σ = 222475680. Its totient is φ = 27540864.

The previous prime is 84217207. The next prime is 84217213. The reversal of 84217212 is 21271248.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84217213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633 + ... + 13080.

It is an arithmetic number, because the mean of its divisors is an integer number (4634910).

Almost surely, 284217212 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 84217212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111237840).

84217212 is an abundant number, since it is smaller than the sum of its proper divisors (138258468).

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

84217212 is a wasteful number, since it uses less digits than its factorization.

84217212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14771 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 84217212 is about 9176.9936253656. The cubic root of 84217212 is about 438.3290827688.

The spelling of 84217212 in words is "eighty-four million, two hundred seventeen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 14713 29426 44139 58852 88278 132417 176556 264834 397251 529668 779789 794502 1559578 1589004 2339367 3119156 4678734 7018101 9357468 14036202 21054303 28072404 42108606 84217212