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2125224 = 23339839
BaseRepresentation
bin1000000110110110101000
310222222021000
420012312220
51021001344
6113315000
724030663
oct10066650
93888230
102125224
111221792
12865a60
1359543a
143d46da
152bea69
hex206da8

2125224 has 32 divisors (see below), whose sum is σ = 5904000. Its totient is φ = 708336.

The previous prime is 2125219. The next prime is 2125229. The reversal of 2125224 is 4225212.

It is an interprime number because it is at equal distance from previous prime (2125219) and next prime (2125229).

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

It is a d-powerful number, because it can be written as 2 + 1 + 213 + 59 + 215 + 217 + 43 .

It is a junction number, because it is equal to n+sod(n) for n = 2125197 and 2125206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125229) 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, 4704 + ... + 5135.

It is an arithmetic number, because the mean of its divisors is an integer number (184500).

22125224 is an apocalyptic number.

2125224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2125224 is an abundant number, since it is smaller than the sum of its proper divisors (3778776).

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

2125224 is a wasteful number, since it uses less digits than its factorization.

2125224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9844 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2125224 is about 1457.8148030528. The cubic root of 2125224 is about 128.5685967630.

The spelling of 2125224 in words is "two million, one hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9839 19678 29517 39356 59034 78712 88551 118068 177102 236136 265653 354204 531306 708408 1062612 2125224