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2136225 = 352713313
BaseRepresentation
bin1000001001100010100001
311000112100110
420021202201
51021324400
6113441533
724105030
oct10114241
94015313
102136225
111229a83
128702a9
1359a450
143d8717
152c2e50
hex2098a1

2136225 has 48 divisors (see below), whose sum is σ = 4360832. Its totient is φ = 898560.

The previous prime is 2136221. The next prime is 2136247. The reversal of 2136225 is 5226312.

It is not a de Polignac number, because 2136225 - 22 = 2136221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

2136225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2136221) 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 47 ways as a sum of consecutive naturals, for example, 6669 + ... + 6981.

22136225 is an apocalyptic number.

2136225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2136225 is an abundant number, since it is smaller than the sum of its proper divisors (2224607).

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

2136225 is a wasteful number, since it uses less digits than its factorization.

2136225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2136225 is about 1461.5830458787. The cubic root of 2136225 is about 128.7900557180.

The spelling of 2136225 in words is "two million, one hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 313 325 455 525 939 975 1365 1565 2191 2275 4069 4695 6573 6825 7825 10955 12207 20345 23475 28483 32865 54775 61035 85449 101725 142415 164325 305175 427245 712075 2136225