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2250528 = 253717197
BaseRepresentation
bin1000100101011100100000
311020100010220
420211130200
51034004103
6120123040
725062210
oct10453440
94210126
102250528
1112a7945
12906480
1360a497
14428240
152e6c53
hex225720

2250528 has 96 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 602112.

The previous prime is 2250509. The next prime is 2250559. The reversal of 2250528 is 8250522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2250498 and 2250507.

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, 11326 + ... + 11522.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

22250528 is an apocalyptic number.

2250528 is a gapful number since it is divisible by the number (28) 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 2250528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2250528 is an abundant number, since it is smaller than the sum of its proper divisors (4934496).

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

2250528 is a wasteful number, since it uses less digits than its factorization.

2250528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2250528 is about 1500.1759896759. The cubic root of 2250528 is about 131.0473189196.

The spelling of 2250528 in words is "two million, two hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 197 204 224 238 272 336 357 394 408 476 544 591 672 714 788 816 952 1182 1379 1428 1576 1632 1904 2364 2758 2856 3152 3349 3808 4137 4728 5516 5712 6304 6698 8274 9456 10047 11032 11424 13396 16548 18912 20094 22064 23443 26792 33096 40188 44128 46886 53584 66192 70329 80376 93772 107168 132384 140658 160752 187544 281316 321504 375088 562632 750176 1125264 2250528