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2253328 = 247113159
BaseRepresentation
bin1000100110001000010000
311020110222121
420212020100
51034101303
6120144024
725103320
oct10461020
94213877
102253328
1112a9a60
12908014
1360b83c
14429280
152e79bd
hex226210

2253328 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 835200.

The previous prime is 2253323. The next prime is 2253341. The reversal of 2253328 is 8233522.

It is not an unprimeable number, because it can be changed into a prime (2253323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38163 + ... + 38221.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

22253328 is an apocalyptic number.

2253328 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 2253328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2253328 is an abundant number, since it is smaller than the sum of its proper divisors (3460592).

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

2253328 is a wasteful number, since it uses less digits than its factorization.

2253328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 2253328 is about 1501.1089234296. The cubic root of 2253328 is about 131.1016440120.

It can be divided in two parts, 225 and 3328, that added together give a palindrome (3553).

The spelling of 2253328 in words is "two million, two hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 59 62 77 88 112 118 124 154 176 217 236 248 308 341 413 434 472 496 616 649 682 826 868 944 1232 1298 1364 1652 1736 1829 2387 2596 2728 3304 3472 3658 4543 4774 5192 5456 6608 7316 9086 9548 10384 12803 14632 18172 19096 20119 25606 29264 36344 38192 40238 51212 72688 80476 102424 140833 160952 204848 281666 321904 563332 1126664 2253328