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223412904 = 233411132411
BaseRepresentation
bin11010101000100…
…00001010101000
3120120101112220000
431110100022220
5424143203104
634100303000
75351656401
oct1524201250
9516345800
10223412904
11105124470
12629a1a60
1337393cb0
14219589a8
1514931639
hexd5102a8

223412904 has 160 divisors (see below), whose sum is σ = 735467040. Its totient is φ = 62467200.

The previous prime is 223412879. The next prime is 223412921. The reversal of 223412904 is 409214322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91459 + ... + 93869.

It is an arithmetic number, because the mean of its divisors is an integer number (4596669).

Almost surely, 2223412904 is an apocalyptic number.

223412904 is a gapful number since it is divisible by the number (24) 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 223412904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367733520).

223412904 is an abundant number, since it is smaller than the sum of its proper divisors (512054136).

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

223412904 is a wasteful number, since it uses less digits than its factorization.

223412904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 223412904 is about 14947.0031778949. The cubic root of 223412904 is about 606.7867440669.

The spelling of 223412904 in words is "two hundred twenty-three million, four hundred twelve thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2411 2574 2808 3432 3564 3861 4212 4822 5148 7128 7233 7722 8424 9644 10296 11583 14466 15444 19288 21699 23166 26521 28932 30888 31343 43398 46332 53042 57864 62686 65097 79563 86796 92664 94029 106084 125372 130194 159126 173592 188058 195291 212168 238689 250744 260388 282087 318252 344773 376116 390582 477378 520776 564174 636504 689546 716067 752232 781164 846261 954756 1034319 1128348 1379092 1432134 1562328 1692522 1909512 2068638 2148201 2256696 2538783 2758184 2864268 3102957 3385044 4137276 4296402 5077566 5728536 6205914 6770088 8274552 8592804 9308871 10155132 12411828 17185608 18617742 20310264 24823656 27926613 37235484 55853226 74470968 111706452 223412904