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2269696 = 29111331
BaseRepresentation
bin1000101010001000000000
311021022102211
420222020000
51040112241
6120351504
725202122
oct10521000
94238384
102269696
111310290
12915594
13616120
14431212
152ec781
hex22a200

2269696 has 80 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 921600.

The previous prime is 2269661. The next prime is 2269699. The reversal of 2269696 is 6969622.

It is a d-powerful number, because it can be written as 23 + 221 + 6 + 95 + 65 + 95 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73201 + ... + 73231.

22269696 is an apocalyptic number.

2269696 is a gapful number since it is divisible by the number (26) 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 2269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2269696 is an abundant number, since it is smaller than the sum of its proper divisors (3229952).

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

2269696 is a wasteful number, since it uses less digits than its factorization.

2269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 2269696 is about 1506.5510280107. The cubic root of 2269696 is about 131.4183158799.

The spelling of 2269696 in words is "two million, two hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 128 143 176 208 248 256 286 341 352 403 416 496 512 572 682 704 806 832 992 1144 1364 1408 1612 1664 1984 2288 2728 2816 3224 3328 3968 4433 4576 5456 5632 6448 6656 7936 8866 9152 10912 12896 15872 17732 18304 21824 25792 35464 36608 43648 51584 70928 73216 87296 103168 141856 174592 206336 283712 567424 1134848 2269696