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2254068 = 2236773
BaseRepresentation
bin1000100110010011110100
311020112000000
420212103310
51034112233
6120151300
725105425
oct10462364
94215000
102254068
1112aa573
12908530
1360bc8b
1442964c
152e7d13
hex2264f4

2254068 has 42 divisors (see below), whose sum is σ = 5921874. Its totient is φ = 750384.

The previous prime is 2254067. The next prime is 2254079. The reversal of 2254068 is 8604522.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 842724 = 1188^2 + 918^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254067) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2530 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (140997).

22254068 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 2254068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960937).

2254068 is an abundant number, since it is smaller than the sum of its proper divisors (3667806).

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

2254068 is an equidigital number, since it uses as much as digits as its factorization.

2254068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2254068 is about 1501.3553876414. The cubic root of 2254068 is about 131.1159938386.

The spelling of 2254068 in words is "two million, two hundred fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 773 972 1458 1546 2319 2916 3092 4638 6957 9276 13914 20871 27828 41742 62613 83484 125226 187839 250452 375678 563517 751356 1127034 2254068