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2265132 = 2232329283
BaseRepresentation
bin1000101001000000101100
311021002011210
420221000230
51034441012
6120314420
725152612
oct10510054
94232153
102265132
111307911
12912a10
1361401c
1442d6b2
152eb23c
hex22902c

2265132 has 48 divisors (see below), whose sum is σ = 5725440. Its totient is φ = 694848.

The previous prime is 2265101. The next prime is 2265143. The reversal of 2265132 is 2315622.

It is a junction number, because it is equal to n+sod(n) for n = 2265099 and 2265108.

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, 7863 + ... + 8145.

It is an arithmetic number, because the mean of its divisors is an integer number (119280).

22265132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862720).

2265132 is an abundant number, since it is smaller than the sum of its proper divisors (3460308).

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

2265132 is a wasteful number, since it uses less digits than its factorization.

2265132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

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

The square root of 2265132 is about 1505.0355477529. The cubic root of 2265132 is about 131.3301696152.

The spelling of 2265132 in words is "two million, two hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 283 348 566 667 849 1132 1334 1698 2001 2668 3396 4002 6509 8004 8207 13018 16414 19527 24621 26036 32828 39054 49242 78108 98484 188761 377522 566283 755044 1132566 2265132