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8212122 = 2321747571
BaseRepresentation
bin11111010100111010011010
3120110012220200
4133110322122
54100241442
6452003030
7126542022
oct37247232
916405820
108212122
1146a9986
122900476
131916b59
14113aa82
15ac334c
hex7d4e9a

8212122 has 48 divisors (see below), whose sum is σ = 19274112. Its totient is φ = 2517120.

The previous prime is 8212109. The next prime is 8212147. The reversal of 8212122 is 2212128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8212095 and 8212104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14097 + ... + 14667.

It is an arithmetic number, because the mean of its divisors is an integer number (401544).

Almost surely, 28212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637056).

8212122 is an abundant number, since it is smaller than the sum of its proper divisors (11061990).

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

8212122 is a wasteful number, since it uses less digits than its factorization.

8212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 8212122 is about 2865.6800240083. The cubic root of 8212122 is about 201.7522859661.

The spelling of 8212122 in words is "eight million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 571 799 846 1142 1598 1713 2397 3426 4794 5139 7191 9707 10278 14382 19414 26837 29121 53674 58242 80511 87363 161022 174726 241533 456229 483066 912458 1368687 2737374 4106061 8212122