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2263720 = 235173329
BaseRepresentation
bin1000101000101010101000
311021000020111
420220222220
51034414340
6120304104
725145524
oct10505250
94230214
102263720
111306848
12912034
136134a4
1442cd84
152eaaea
hex228aa8

2263720 has 32 divisors (see below), whose sum is σ = 5394600. Its totient is φ = 851968.

The previous prime is 2263699. The next prime is 2263721. The reversal of 2263720 is 273622.

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 298116 = 1402^2 + 546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2263691 and 2263700.

It is not an unprimeable number, because it can be changed into a prime (2263721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 985 + ... + 2344.

22263720 is an apocalyptic number.

2263720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263720 is an abundant number, since it is smaller than the sum of its proper divisors (3130880).

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

2263720 is a wasteful number, since it uses less digits than its factorization.

2263720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2263720 is about 1504.5663827163. The cubic root of 2263720 is about 131.3028751434.

The spelling of 2263720 in words is "two million, two hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3329 6658 13316 16645 26632 33290 56593 66580 113186 133160 226372 282965 452744 565930 1131860 2263720