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2252925 = 3252171931
BaseRepresentation
bin1000100110000001111101
311020110102200
420212001331
51034043200
6120142113
725102203
oct10460175
94213380
102252925
1112a9724
12907939
1360b5bc
14429073
152e7800
hex22607d

2252925 has 72 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 1036800.

The previous prime is 2252917. The next prime is 2252927. The reversal of 2252925 is 5292522.

It is not a de Polignac number, because 2252925 - 23 = 2252917 is a prime.

Its product of digits (3600) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72660 + ... + 72690.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

22252925 is an apocalyptic number.

2252925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252925 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2252925 is a wasteful number, since it uses less digits than its factorization.

2252925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2252925 is about 1500.9746833308. The cubic root of 2252925 is about 131.0938278526.

The spelling of 2252925 in words is "two million, two hundred fifty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 31 45 51 57 75 85 93 95 153 155 171 225 255 279 285 323 425 465 475 527 589 765 775 855 969 1275 1395 1425 1581 1615 1767 2325 2635 2907 2945 3825 4275 4743 4845 5301 6975 7905 8075 8835 10013 13175 14535 14725 23715 24225 26505 30039 39525 44175 50065 72675 90117 118575 132525 150195 250325 450585 750975 2252925