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2821122 = 23389587
BaseRepresentation
bin1010110000110000000010
312022022212000
422300300002
51210233442
6140244430
732656563
oct12606002
95268760
102821122
111657607
12b40716
1377a105
1453616a
153aad4c
hex2b0c02

2821122 has 32 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 928224.

The previous prime is 2821109. The next prime is 2821141. The reversal of 2821122 is 2211282.

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 = 2821095 and 2821104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4513 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

22821122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2821122 is an abundant number, since it is smaller than the sum of its proper divisors (3529278).

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

2821122 is a wasteful number, since it uses less digits than its factorization.

2821122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

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

The square root of 2821122 is about 1679.6195997904. The cubic root of 2821122 is about 141.2994991891.

The spelling of 2821122 in words is "two million, eight hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 587 801 1174 1602 1761 2403 3522 4806 5283 10566 15849 31698 52243 104486 156729 313458 470187 940374 1410561 2821122