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2269968 = 243192131
BaseRepresentation
bin1000101010001100010000
311021022210220
420222030100
51040114333
6120353040
725202661
oct10521420
94238726
102269968
111310508
12915780
1361629c
14431368
152ec8b3
hex22a310

2269968 has 60 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 711360.

The previous prime is 2269961. The next prime is 2269973. The reversal of 2269968 is 8699622.

It is not an unprimeable number, because it can be changed into a prime (2269961) 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 11 ways as a sum of consecutive naturals, for example, 17263 + ... + 17393.

22269968 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 2269968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2269968 is an abundant number, since it is smaller than the sum of its proper divisors (3966240).

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

2269968 is a wasteful number, since it uses less digits than its factorization.

2269968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2269968 is about 1506.6412977215. The cubic root of 2269968 is about 131.4235653868.

The spelling of 2269968 in words is "two million, two hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 131 152 228 262 304 361 393 456 524 722 786 912 1048 1083 1444 1572 2096 2166 2489 2888 3144 4332 4978 5776 6288 7467 8664 9956 14934 17328 19912 29868 39824 47291 59736 94582 119472 141873 189164 283746 378328 567492 756656 1134984 2269968