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1223230132404 = 22327151307104711
BaseRepresentation
bin10001110011001110001…
…100101001000010110100
311022221101000022002212200
4101303032030221002310
5130020133403214104
62333535534544500
7154242532366410
oct21631614510264
94287330262780
101223230132404
1143185057a425
121790a1368130
138b472251497
14432c17ddd40
1521c44307b39
hex11cce3290b4

1223230132404 has 144 divisors (see below), whose sum is σ = 3568799410176. Its totient is φ = 346045608000.

The previous prime is 1223230132403. The next prime is 1223230132417. The reversal of 1223230132404 is 4042310323221.

1223230132404 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 301 + 324 + 0 + 4 = 666.

It is a super-2 number, since 2×12232301324042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223230132403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11629609 + ... + 11734319.

Almost surely, 21223230132404 is an apocalyptic number.

1223230132404 is a gapful number since it is divisible by the number (14) 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 1223230132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784399705088).

1223230132404 is an abundant number, since it is smaller than the sum of its proper divisors (2345569277772).

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

1223230132404 is a wasteful number, since it uses less digits than its factorization.

1223230132404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105186 (or 105181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1223230132404 its reverse (4042310323221), we get a palindrome (5265540455625).

The spelling of 1223230132404 in words is "one trillion, two hundred twenty-three billion, two hundred thirty million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 307 453 604 614 906 921 1057 1228 1359 1812 1842 2114 2149 2718 2763 3171 3684 4228 4298 5436 5526 6342 6447 8596 9513 11052 12684 12894 19026 19341 25788 38052 38682 46357 77364 92714 104711 139071 185428 209422 278142 314133 324499 417213 418844 556284 628266 648998 732977 834426 942399 973497 1256532 1297996 1465954 1668852 1884798 1946994 2198931 2920491 2931908 3769596 3893988 4397862 5840982 6596793 8795724 11681964 13193586 15811361 26387172 31622722 32146277 47434083 63245444 64292554 94868166 96438831 110679527 128585108 142302249 189736332 192877662 221359054 225023939 284604498 289316493 332038581 385755324 442718108 450047878 569208996 578632986 664077162 675071817 900095756 996115743 1157265972 1328154324 1350143634 1992231486 2025215451 2700287268 3984462972 4050430902 4854087827 8100861804 9708175654 14562263481 19416351308 29124526962 33978614789 43686790443 58249053924 67957229578 87373580886 101935844367 135914459156 174747161772 203871688734 305807533101 407743377468 611615066202 1223230132404