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223231475712 = 2173781101
BaseRepresentation
bin1100111111100110100…
…0100000000000000000
3210100012101101221001210
43033321220200000000
512124134224210322
6250315013130120
722061612143620
oct3177150400000
9710171357053
10223231475712
1186743391803
123731b929940
13180873361cb
14ab39626880
155c17c5970c
hex33f9a20000

223231475712 has 144 divisors (see below), whose sum is σ = 680330290752. Its totient is φ = 63779635200.

The previous prime is 223231475707. The next prime is 223231475713. The reversal of 223231475712 is 217574132322.

It is a super-3 number, since 3×2232314757123 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223231475713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2711962 + ... + 2793062.

It is an arithmetic number, because the mean of its divisors is an integer number (4724515908).

Almost surely, 2223231475712 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 223231475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340165145376).

223231475712 is an abundant number, since it is smaller than the sum of its proper divisors (457098815040).

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

223231475712 is an frugal number, since it uses more digits than its factorization.

223231475712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81145 (or 81113 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

It can be divided in two parts, 2232314 and 75712, that added together give a triangular number (2308026 = T2148).

The spelling of 223231475712 in words is "two hundred twenty-three billion, two hundred thirty-one million, four hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 65536 81101 86016 98304 114688 131072 162202 172032 196608 229376 243303 324404 344064 393216 458752 486606 567707 648808 688128 917504 973212 1135414 1297616 1376256 1703121 1946424 2270828 2595232 2752512 3406242 3892848 4541656 5190464 6812484 7785696 9083312 10380928 13624968 15571392 18166624 20761856 27249936 31142784 36333248 41523712 54499872 62285568 72666496 83047424 108999744 124571136 145332992 166094848 217999488 249142272 290665984 332189696 435998976 498284544 581331968 664379392 871997952 996569088 1162663936 1328758784 1743995904 1993138176 2325327872 2657517568 3487991808 3986276352 4650655744 5315035136 6975983616 7972552704 9301311488 10630070272 13951967232 15945105408 18602622976 27903934464 31890210816 37205245952 55807868928 74410491904 111615737856 223231475712