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242201033334 = 23413541212579
BaseRepresentation
bin1110000110010001001…
…1100111101001110110
3212011011101222022010000
43201210103213221312
512432011431031314
6303133212412130
723332652546421
oct3414423475166
9764141868100
10242201033334
1193798195157
123ab34777046
1319abb3a5510
14ba18b189b8
1564782ce209
hex38644e7a76

242201033334 has 80 divisors (see below), whose sum is σ = 585539705520. Its totient is φ = 74385293760.

The previous prime is 242201033309. The next prime is 242201033411. The reversal of 242201033334 is 433330102242.

242201033334 is a `hidden beast` number, since 2 + 4 + 220 + 103 + 3 + 334 = 666.

It is a super-2 number, since 2×2422010333342 (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 = 242201033298 and 242201033307.

It is a congruent number.

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, 1033057 + ... + 1245635.

It is an arithmetic number, because the mean of its divisors is an integer number (7319246319).

Almost surely, 2242201033334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242201033334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292769852760).

242201033334 is an abundant number, since it is smaller than the sum of its proper divisors (343338672186).

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

242201033334 is a wasteful number, since it uses less digits than its factorization.

242201033334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213147 (or 213138 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 242201033334 its reverse (433330102242), we get a palindrome (675531135576).

The spelling of 242201033334 in words is "two hundred forty-two billion, two hundred one million, thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 541 702 1053 1082 1623 2106 3246 4869 7033 9738 14066 14607 21099 29214 42198 43821 63297 87642 126594 189891 212579 379782 425158 569673 637737 1139346 1275474 1913211 2763527 3826422 5527054 5739633 8290581 11479266 16581162 17218899 24871743 34437798 49743486 74615229 115005239 149230458 223845687 230010478 345015717 447691374 690031434 1035047151 1495068107 2070094302 2990136214 3105141453 4485204321 6210282906 8970408642 9315424359 13455612963 18630848718 26911225926 40366838889 80733677778 121100516667 242201033334