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2212002 = 2331323137
BaseRepresentation
bin1000011100000010100010
311011101022000
420130002202
51031241002
6115224430
724541662
oct10340242
94141260
102212002
111280a01
128a8116
135c5aa0
144181a2
152da61c
hex21c0a2

2212002 has 64 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 646272.

The previous prime is 2211997. The next prime is 2212003. The reversal of 2212002 is 2002122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16078 + ... + 16214.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

22212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2212002 is an abundant number, since it is smaller than the sum of its proper divisors (3352158).

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

2212002 is a wasteful number, since it uses less digits than its factorization.

2212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2212002 is about 1487.2800677747. The cubic root of 2212002 is about 130.2952264770.

Adding to 2212002 its reverse (2002122), we get a palindrome (4214124).

The spelling of 2212002 in words is "two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 137 138 207 234 274 299 351 411 414 598 621 702 822 897 1233 1242 1781 1794 2466 2691 3151 3562 3699 5343 5382 6302 7398 8073 9453 10686 16029 16146 18906 28359 32058 40963 48087 56718 81926 85077 96174 122889 170154 245778 368667 737334 1106001 2212002