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2212290 = 232547523
BaseRepresentation
bin1000011100000111000010
311011101200200
420130013002
51031243130
6115230030
724542553
oct10340702
94141620
102212290
111281143
128a8316
135c5c62
1441832a
152da760
hex21c1c2

2212290 has 48 divisors (see below), whose sum is σ = 5885568. Its totient is φ = 576288.

The previous prime is 2212277. The next prime is 2212297. The reversal of 2212290 is 922122.

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

It is not an unprimeable number, because it can be changed into a prime (2212297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3969 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (122616).

22212290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942784).

2212290 is an abundant number, since it is smaller than the sum of its proper divisors (3673278).

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

2212290 is a wasteful number, since it uses less digits than its factorization.

2212290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2212290 is about 1487.3768856615. The cubic root of 2212290 is about 130.3008809922.

The spelling of 2212290 in words is "two million, two hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 523 705 846 1046 1410 1569 2115 2615 3138 4230 4707 5230 7845 9414 15690 23535 24581 47070 49162 73743 122905 147486 221229 245810 368715 442458 737430 1106145 2212290