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2244020 = 225295373
BaseRepresentation
bin1000100011110110110100
311020000012212
420203312310
51033302040
6120032552
725034222
oct10436664
94200185
102244020
1112a2a69
12902758
1360752c
14425b12
152e4d65
hex223db4

2244020 has 48 divisors (see below), whose sum is σ = 5034960. Its totient is φ = 838656.

The previous prime is 2243987. The next prime is 2244091. The reversal of 2244020 is 204422.

It is a happy number.

2244020 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 8 ways, for example, as 17956 + 2226064 = 134^2 + 1492^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2243986 and 2244004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30704 + ... + 30776.

It is an arithmetic number, because the mean of its divisors is an integer number (104895).

22244020 is an apocalyptic number.

2244020 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 2244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517480).

2244020 is an abundant number, since it is smaller than the sum of its proper divisors (2790940).

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

2244020 is a wasteful number, since it uses less digits than its factorization.

2244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2244020 is about 1498.0053404444. The cubic root of 2244020 is about 130.9208775746.

Adding to 2244020 its reverse (204422), we get a palindrome (2448442).

The spelling of 2244020 in words is "two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 73 106 116 145 146 212 265 290 292 365 530 580 730 1060 1460 1537 2117 3074 3869 4234 6148 7685 7738 8468 10585 15370 15476 19345 21170 30740 38690 42340 77380 112201 224402 448804 561005 1122010 2244020