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2102022 = 232132691
BaseRepresentation
bin1000000001001100000110
310221210102200
420001030012
51014231042
6113015330
723603226
oct10011406
93853380
102102022
11120630a
12854546
13587a00
143ca086
152b7c4c
hex201306

2102022 has 36 divisors (see below), whose sum is σ = 4938804. Its totient is φ = 645840.

The previous prime is 2102021. The next prime is 2102057. The reversal of 2102022 is 2202012.

It is a super-3 number, since 3×21020223 = 27863330477148343944, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101995 and 2102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2697 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (137189).

22102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469402).

2102022 is an abundant number, since it is smaller than the sum of its proper divisors (2836782).

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

2102022 is a wasteful number, since it uses less digits than its factorization.

2102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

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

The square root of 2102022 is about 1449.8351630444. The cubic root of 2102022 is about 128.0990038077.

Adding to 2102022 its reverse (2202012), we get a palindrome (4304034).

The spelling of 2102022 in words is "two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 691 1014 1382 1521 2073 3042 4146 6219 8983 12438 17966 26949 53898 80847 116779 161694 233558 350337 700674 1051011 2102022