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224033034330 = 23457231717913
BaseRepresentation
bin1101000010100101101…
…0001101000001011010
3210102021020200022210000
43100221122031001122
512132304424044310
6250530325233430
722120514241330
oct3205132150132
9712236608700
10224033034330
1187014897646
1237504262876
1318184413651
14abb3c79b50
155c632dd4c0
hex342968d05a

224033034330 has 160 divisors (see below), whose sum is σ = 718390404864. Its totient is φ = 48981106944.

The previous prime is 224033034319. The next prime is 224033034419. The reversal of 224033034330 is 33430330422.

224033034330 is a `hidden beast` number, since 2 + 24 + 0 + 3 + 303 + 4 + 330 = 666.

It is a super-2 number, since 2×2240330343302 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224033034294 and 224033034303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 728547 + ... + 989366.

Almost surely, 2224033034330 is an apocalyptic number.

224033034330 is an abundant number, since it is smaller than the sum of its proper divisors (494357370534).

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

224033034330 is a wasteful number, since it uses less digits than its factorization.

224033034330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717962 (or 1717953 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 224033034330 its reverse (33430330422), we get a palindrome (257463364752).

The spelling of 224033034330 in words is "two hundred twenty-four billion, thirty-three million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 270 315 322 345 378 405 414 483 567 621 630 690 805 810 945 966 1035 1134 1242 1449 1610 1863 1890 2070 2415 2835 2898 3105 3726 4347 4830 5670 6210 7245 8694 9315 13041 14490 18630 21735 26082 43470 65205 130410 1717913 3435826 5153739 8589565 10307478 12025391 15461217 17179130 24050782 25768695 30922434 36076173 39511999 46383651 51537390 60126955 72152346 77306085 79023998 92767302 108228519 118535997 120253910 139150953 154612170 180380865 197559995 216457038 231918255 237071994 276583993 278301906 324685557 355607991 360761730 395119990 463836510 541142595 553167986 592679985 649371114 695754765 711215982 829751979 974056671 1066823973 1082285190 1185359970 1382919965 1391509530 1623427785 1659503958 1778039955 1948113342 2133647946 2489255937 2765839930 3200471919 3246855570 3556079910 4148759895 4870283355 4978511874 5334119865 6400943838 7467767811 8297519790 9740566710 10668239730 12446279685 14935535622 16002359595 22403303433 24892559370 32004719190 37338839055 44806606866 74677678110 112016517165 224033034330