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2325620 = 225112312
BaseRepresentation
bin1000110111110001110100
311101011011002
420313301310
51043404440
6121502432
725524143
oct10676164
94334132
102325620
111349300
12941a18
1363570b
1444775a
1530e115
hex237c74

2325620 has 54 divisors (see below), whose sum is σ = 5546898. Its totient is φ = 818400.

The previous prime is 2325613. The next prime is 2325623. The reversal of 2325620 is 265232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1860496 + 465124 = 1364^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2325592 and 2325601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325623) 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, 75005 + ... + 75035.

22325620 is an apocalyptic number.

2325620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773449).

2325620 is an abundant number, since it is smaller than the sum of its proper divisors (3221278).

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

2325620 is a wasteful number, since it uses less digits than its factorization.

2325620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2325620 is about 1524.9983606549. The cubic root of 2325620 is about 132.4889275190.

Multiplying 2325620 by its sum of digits (20), we get a square (46512400 = 68202).

2325620 divided by its sum of digits (20) gives a square (116281 = 3412).

Multiplying 2325620 by its product of nonzero digits (720), we get a square (1674446400 = 409202).

The spelling of 2325620 in words is "two million, three hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 961 1210 1364 1705 1922 2420 3410 3751 3844 4805 6820 7502 9610 10571 15004 18755 19220 21142 37510 42284 52855 75020 105710 116281 211420 232562 465124 581405 1162810 2325620