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2250072 = 233311947
BaseRepresentation
bin1000100101010101011000
311020022112000
420211111120
51034000242
6120121000
725060656
oct10452530
94208460
102250072
1112a7570
12906160
1360a206
14427dd6
152e6a4c
hex225558

2250072 has 64 divisors (see below), whose sum is σ = 6825600. Its totient is φ = 681120.

The previous prime is 2250043. The next prime is 2250089. The reversal of 2250072 is 2700522.

It is a happy number.

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

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (106650).

22250072 is an apocalyptic number.

2250072 is a gapful number since it is divisible by the number (22) 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 2250072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412800).

2250072 is an abundant number, since it is smaller than the sum of its proper divisors (4575528).

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

2250072 is a wasteful number, since it uses less digits than its factorization.

2250072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2250072 is about 1500.0239998080. The cubic root of 2250072 is about 131.0384674243.

Adding to 2250072 its reverse (2700522), we get a palindrome (4950594).

The spelling of 2250072 in words is "two million, two hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 947 1188 1894 2376 2841 3788 5682 7576 8523 10417 11364 17046 20834 22728 25569 31251 34092 41668 51138 62502 68184 83336 93753 102276 125004 187506 204552 250008 281259 375012 562518 750024 1125036 2250072