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2252520 = 233256257
BaseRepresentation
bin1000100101111011101000
311020102212200
420211323220
51034040040
6120140200
725101054
oct10457350
94212780
102252520
1112a9396
12907660
1360b36a
14428c64
152e7630
hex225ee8

2252520 has 48 divisors (see below), whose sum is σ = 7321860. Its totient is φ = 600576.

The previous prime is 2252519. The next prime is 2252539. The reversal of 2252520 is 252522.

2252520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 161604 = 1446^2 + 402^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2252493 and 2252502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2769 + ... + 3488.

22252520 is an apocalyptic number.

2252520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252520 is an abundant number, since it is smaller than the sum of its proper divisors (5069340).

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

2252520 is a wasteful number, since it uses less digits than its factorization.

2252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2252520 is about 1500.8397649316. The cubic root of 2252520 is about 131.0859719642.

It can be divided in two parts, 2252 and 520, that added together give a palindrome (2772).

The spelling of 2252520 in words is "two million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6257 12514 18771 25028 31285 37542 50056 56313 62570 75084 93855 112626 125140 150168 187710 225252 250280 281565 375420 450504 563130 750840 1126260 2252520