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269230272 = 26323411487
BaseRepresentation
bin10000000011000…
…010000011000000
3200202121022111120
4100003002003000
51022410332042
642414312240
76446263623
oct2003020300
9622538446
10269230272
11128a78763
12761b8680
1343a1666c
1427a83dba
1518981dec
hex100c20c0

269230272 has 112 divisors (see below), whose sum is σ = 761951232. Its totient is φ = 83691520.

The previous prime is 269230261. The next prime is 269230277. The reversal of 269230272 is 272032962.

It is a super-2 number, since 2×2692302722 = 144969878722387968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (269230277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180313 + ... + 181799.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2269230272 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 269230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380975616).

269230272 is an abundant number, since it is smaller than the sum of its proper divisors (492720960).

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

269230272 is a wasteful number, since it uses less digits than its factorization.

269230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 269230272 is about 16408.2379309906. The cubic root of 269230272 is about 645.7156266078.

The spelling of 269230272 in words is "two hundred sixty-nine million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 138 164 184 192 246 276 328 368 492 552 656 736 943 984 1104 1312 1472 1487 1886 1968 2208 2624 2829 2974 3772 3936 4416 4461 5658 5948 7544 7872 8922 11316 11896 15088 17844 22632 23792 30176 34201 35688 45264 47584 60352 60967 68402 71376 90528 95168 102603 121934 136804 142752 181056 182901 205206 243868 273608 285504 365802 410412 487736 547216 731604 820824 975472 1094432 1402241 1463208 1641648 1950944 2188864 2804482 2926416 3283296 3901888 4206723 5608964 5852832 6566592 8413446 11217928 11705664 16826892 22435856 33653784 44871712 67307568 89743424 134615136 269230272