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2269296 = 243417103
BaseRepresentation
bin1000101010000001110000
311021021220000
420222001300
51040104141
6120350000
725201011
oct10520160
94237800
102269296
11130aa57
12915300
13615ba3
14431008
152ec5b6
hex22a070

2269296 has 100 divisors (see below), whose sum is σ = 7021872. Its totient is φ = 705024.

The previous prime is 2269283. The next prime is 2269307. The reversal of 2269296 is 6929622.

2269296 = T33 + T34 + ... + T238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2269296.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 21981 + ... + 22083.

22269296 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 2269296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510936).

2269296 is an abundant number, since it is smaller than the sum of its proper divisors (4752576).

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

2269296 is a wasteful number, since it uses less digits than its factorization.

2269296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2269296 is about 1506.4182686094. The cubic root of 2269296 is about 131.4105952550.

2269296 divided by its sum of digits (36) gives a palindrome (63036).

The spelling of 2269296 in words is "two million, two hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 103 108 136 144 153 162 204 206 216 272 306 309 324 408 412 432 459 612 618 648 816 824 918 927 1224 1236 1296 1377 1648 1751 1836 1854 2448 2472 2754 2781 3502 3672 3708 4944 5253 5508 5562 7004 7344 7416 8343 10506 11016 11124 14008 14832 15759 16686 21012 22032 22248 28016 31518 33372 42024 44496 47277 63036 66744 84048 94554 126072 133488 141831 189108 252144 283662 378216 567324 756432 1134648 2269296