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2253096 = 23351961
BaseRepresentation
bin1000100110000100101000
311020110200000
420212010220
51034044341
6120143000
725102536
oct10460450
94213600
102253096
1112a986a
12907a60
1360b6c1
14429156
152e78b6
hex226128

2253096 has 96 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 699840.

The previous prime is 2253091. The next prime is 2253101. The reversal of 2253096 is 6903522.

It is an interprime number because it is at equal distance from previous prime (2253091) and next prime (2253101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2253091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36906 + ... + 36966.

It is an arithmetic number, because the mean of its divisors is an integer number (70525).

22253096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2253096 is an abundant number, since it is smaller than the sum of its proper divisors (4517304).

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

2253096 is a wasteful number, since it uses less digits than its factorization.

2253096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2253096 is about 1501.0316452360. The cubic root of 2253096 is about 131.0971445005.

It can be divided in two parts, 225 and 3096, that added together give a triangular number (3321 = T81).

The spelling of 2253096 in words is "two million, two hundred fifty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 81 108 114 122 152 162 171 183 216 228 243 244 324 342 366 456 486 488 513 549 648 684 732 972 1026 1098 1159 1368 1464 1539 1647 1944 2052 2196 2318 3078 3294 3477 4104 4392 4617 4636 4941 6156 6588 6954 9234 9272 9882 10431 12312 13176 13908 14823 18468 19764 20862 27816 29646 31293 36936 39528 41724 59292 62586 83448 93879 118584 125172 187758 250344 281637 375516 563274 751032 1126548 2253096