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222502434030 = 23454335318097
BaseRepresentation
bin1100111100111000101…
…1011011010011101110
3210021022120120202220000
43033032023123103232
512121141110342110
6250114411205130
722034550324642
oct3171613332356
9707276522800
10222502434030
11863a9906a18
12371577467a6
1317c9c2990b6
14aaaa88cc22
155bc3c4c1c0
hex33ce2db4ee

222502434030 has 160 divisors (see below), whose sum is σ = 613966107744. Its totient is φ = 57786753024.

The previous prime is 222502434013. The next prime is 222502434031. The reversal of 222502434030 is 30434205222.

It is a happy number.

222502434030 is a `hidden beast` number, since 2 + 2 + 250 + 2 + 4 + 3 + 403 + 0 = 666.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 222502433985 and 222502434003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222502434031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12285942 + ... + 12304038.

Almost surely, 2222502434030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222502434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306983053872).

222502434030 is an abundant number, since it is smaller than the sum of its proper divisors (391463673714).

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

222502434030 is a wasteful number, since it uses less digits than its factorization.

222502434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18512 (or 18503 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 222502434030 its reverse (30434205222), we get a palindrome (252936639252).

The spelling of 222502434030 in words is "two hundred twenty-two billion, five hundred two million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 353 387 405 430 645 706 774 810 1059 1161 1290 1765 1935 2118 2322 3177 3483 3530 3870 5295 5805 6354 6966 9531 10590 11610 15179 15885 17415 18097 19062 28593 30358 31770 34830 36194 45537 47655 54291 57186 75895 90485 91074 95310 108582 136611 142965 151790 162873 180970 227685 271455 273222 285930 325746 409833 455370 488619 542910 683055 778171 814365 819666 977238 1229499 1366110 1465857 1556342 1628730 2049165 2334513 2443095 2458998 2931714 3890855 4098330 4669026 4886190 6147495 6388241 7003539 7329285 7781710 11672565 12294990 12776482 14007078 14658570 19164723 21010617 23345130 31941205 35017695 38329446 42021234 57494169 63031851 63882410 70035390 95823615 105053085 114988338 126063702 172482507 191647230 210106170 274694363 287470845 315159255 344965014 517447521 549388726 574941690 630318510 824083089 862412535 1034895042 1373471815 1648166178 1724825070 2472249267 2587237605 2746943630 4120415445 4944498534 5174475210 7416747801 8240830890 12361246335 14833495602 22250243403 24722492670 37083739005 44500486806 74167478010 111251217015 222502434030