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2135322 = 23472269
BaseRepresentation
bin1000001001010100011010
311000111010000
420021110122
51021312242
6113433430
724102300
oct10112432
94014100
102135322
111229332
1286b876
13599c07
143d8270
152c2a4c
hex20951a

2135322 has 60 divisors (see below), whose sum is σ = 5586570. Its totient is φ = 607824.

The previous prime is 2135303. The next prime is 2135333. The reversal of 2135322 is 2235312.

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 35721 = 1449^2 + 189^2 .

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

It is a d-powerful number, because it can be written as 23 + 1 + 34 + 55 + 37 + 215 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2135295 and 2135304.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7804 + ... + 8072.

22135322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793285).

2135322 is an abundant number, since it is smaller than the sum of its proper divisors (3451248).

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

2135322 is a wasteful number, since it uses less digits than its factorization.

2135322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2135322 is about 1461.2741015976. The cubic root of 2135322 is about 128.7719062860.

The spelling of 2135322 in words is "two million, one hundred thirty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 269 294 378 441 538 567 807 882 1134 1323 1614 1883 2421 2646 3766 3969 4842 5649 7263 7938 11298 13181 14526 16947 21789 26362 33894 39543 43578 50841 79086 101682 118629 152523 237258 305046 355887 711774 1067661 2135322