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224100453330 = 233513433147451
BaseRepresentation
bin1101000010110101101…
…1011000101111010010
3210102102221112120021000
43100231123120233102
512132424204001310
6250541134242430
722122263265225
oct3205533305722
9712387476230
10224100453330
1187049955526
1237522956416
131819538a450
14abbcbc95bc
155c691a94c0
hex342d6d8bd2

224100453330 has 128 divisors (see below), whose sum is σ = 645061213440. Its totient is φ = 55035417600.

The previous prime is 224100453329. The next prime is 224100453337. The reversal of 224100453330 is 33354001422.

224100453330 is a `hidden beast` number, since 2 + 24 + 100 + 4 + 533 + 3 + 0 = 666.

224100453330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224100453294 and 224100453303.

It is not an unprimeable number, because it can be changed into a prime (224100453337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446105 + ... + 1593555.

It is an arithmetic number, because the mean of its divisors is an integer number (5039540730).

Almost surely, 2224100453330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224100453330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322530606720).

224100453330 is an abundant number, since it is smaller than the sum of its proper divisors (420960760110).

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

224100453330 is a wasteful number, since it uses less digits than its factorization.

224100453330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147913 (or 147907 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 224100453330 its reverse (33354001422), we get a palindrome (257454454752).

The spelling of 224100453330 in words is "two hundred twenty-four billion, one hundred million, four hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 433 585 702 866 1170 1299 1755 2165 2598 3510 3897 4330 5629 6495 7794 11258 11691 12990 16887 19485 23382 28145 33774 38970 50661 56290 58455 84435 101322 116910 147451 151983 168870 253305 294902 303966 442353 506610 737255 759915 884706 1327059 1474510 1519830 1916863 2211765 2654118 3833726 3981177 4423530 5750589 6635295 7962354 9584315 11501178 13270590 17251767 19168630 19905885 28752945 34503534 39811770 51755301 57505890 63846283 86258835 103510602 127692566 172517670 191538849 258776505 319231415 383077698 517553010 574616547 638462830 830001679 957694245 1149233094 1660003358 1723849641 1915388490 2490005037 2873082735 3447699282 4150008395 4980010074 5746165470 7470015111 8300016790 8619248205 12450025185 14940030222 17238496410 22410045333 24900050370 37350075555 44820090666 74700151110 112050226665 224100453330