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11233023200 = 255272338609
BaseRepresentation
bin10100111011000101…
…00101010011100000
31001222211220200222022
422131202211103200
5141001123220300
65054350401012
7545236056530
oct123542452340
931884820868
1011233023200
114844826653
122215b00168
1310a02a49b9
14787c0b4c0
1545b26d285
hex29d8a54e0

11233023200 has 144 divisors (see below), whose sum is σ = 31478297760. Its totient is φ = 3834347520.

The previous prime is 11233023163. The next prime is 11233023223. The reversal of 11233023200 is 232033211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300496 + ... + 1309104.

It is an arithmetic number, because the mean of its divisors is an integer number (218599290).

Almost surely, 211233023200 is an apocalyptic number.

11233023200 is a gapful number since it is divisible by the number (10) 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 11233023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739148880).

11233023200 is an abundant number, since it is smaller than the sum of its proper divisors (20245274560).

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

11233023200 is a wasteful number, since it uses less digits than its factorization.

11233023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11233023200 its reverse (232033211), we get a palindrome (11465056411).

The spelling of 11233023200 in words is "eleven billion, two hundred thirty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 233 280 350 400 466 560 700 800 932 1120 1165 1400 1631 1864 2330 2800 3262 3728 4660 5600 5825 6524 7456 8155 8609 9320 11650 13048 16310 17218 18640 23300 26096 32620 34436 37280 40775 43045 46600 52192 60263 65240 68872 81550 86090 93200 120526 130480 137744 163100 172180 186400 215225 241052 260960 275488 301315 326200 344360 430450 482104 602630 652400 688720 860900 964208 1205260 1304800 1377440 1506575 1721800 1928416 2005897 2410520 3013150 3443600 4011794 4821040 6026300 6887200 8023588 9642080 10029485 12052600 14041279 16047176 20058970 24105200 28082558 32094352 40117940 48210400 50147425 56165116 64188704 70206395 80235880 100294850 112330232 140412790 160471760 200589700 224660464 280825580 320943520 351031975 401179400 449320928 561651160 702063950 802358800 1123302320 1404127900 1604717600 2246604640 2808255800 5616511600 11233023200