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2240896 = 2774161
BaseRepresentation
bin1000100011000110000000
311012211221011
420203012000
51033202041
6120010304
725022140
oct10430600
94184834
102240896
1112a0689
12900994
13605c98
14424920
152e3e81
hex223180

2240896 has 64 divisors (see below), whose sum is σ = 5312160. Its totient is φ = 921600.

The previous prime is 2240891. The next prime is 2240941. The reversal of 2240896 is 6980422.

2240896 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22408962 = 10043229765632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36706 + ... + 36766.

22240896 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 2240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080).

2240896 is an abundant number, since it is smaller than the sum of its proper divisors (3071264).

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

2240896 is an equidigital number, since it uses as much as digits as its factorization.

2240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2240896 is about 1496.9622573732. The cubic root of 2240896 is about 130.8600957690.

It can be divided in two parts, 2240 and 896, that added together give a square (3136 = 562).

The spelling of 2240896 in words is "two million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 61 64 82 112 122 128 164 224 244 287 328 427 448 488 574 656 854 896 976 1148 1312 1708 1952 2296 2501 2624 3416 3904 4592 5002 5248 6832 7808 9184 10004 13664 17507 18368 20008 27328 35014 36736 40016 54656 70028 80032 140056 160064 280112 320128 560224 1120448 2240896