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235550106 = 2361119773
BaseRepresentation
bin11100000101000…
…11010110011010
3121102020012000000
432002203112122
5440300100411
635212353430
75560100001
oct1602432632
9542205000
10235550106
11110a64310
1266a75876
1339a5357c
14233d7c38
1515a2c956
hexe0a359a

235550106 has 112 divisors (see below), whose sum is σ = 609107040. Its totient is φ = 67534560.

The previous prime is 235550071. The next prime is 235550129. The reversal of 235550106 is 601055532.

235550106 is a `hidden beast` number, since 2 + 3 + 5 + 550 + 106 = 666.

It is a super-2 number, since 2×2355501062 = 110967704873222472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 235550106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 304336 + ... + 305108.

Almost surely, 2235550106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235550106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304553520).

235550106 is an abundant number, since it is smaller than the sum of its proper divisors (373556934).

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

235550106 is a wasteful number, since it uses less digits than its factorization.

235550106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 235550106 is about 15347.6417080931. The cubic root of 235550106 is about 617.5817228079.

The spelling of 235550106 in words is "two hundred thirty-five million, five hundred fifty thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 729 773 891 1026 1254 1458 1539 1546 1782 1881 2319 2673 3078 3762 4617 4638 5346 5643 6957 8019 8503 9234 11286 13851 13914 14687 16038 16929 17006 20871 25509 27702 29374 33858 41742 44061 50787 51018 62613 76527 88122 101574 125226 132183 152361 153054 161557 187839 229581 264366 304722 323114 375678 396549 459162 484671 563517 688743 793098 969342 1127034 1189647 1377486 1454013 2066229 2379294 2908026 3568941 4132458 4362039 6198687 7137882 8724078 10706823 12397374 13086117 21413646 26172234 39258351 78516702 117775053 235550106