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233850045 = 35113131753
BaseRepresentation
bin11011111000001…
…00010010111101
3121022000210221210
431330010102331
5434331200140
635112115033
75536456362
oct1574042275
9538023853
10233850045
11110003000
1266395a79
13395a9810
14230b4469
15157e3d80
hexdf044bd

233850045 has 128 divisors (see below), whose sum is σ = 478130688. Its totient is φ = 96645120.

The previous prime is 233850041. The next prime is 233850049. The reversal of 233850045 is 540058332.

It is an interprime number because it is at equal distance from previous prime (233850041) and next prime (233850049).

It is not a de Polignac number, because 233850045 - 22 = 233850041 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 233849994 and 233850021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233850041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4412239 + ... + 4412291.

It is an arithmetic number, because the mean of its divisors is an integer number (3735396).

Almost surely, 2233850045 is an apocalyptic number.

It is an amenable number.

233850045 is an abundant number, since it is smaller than the sum of its proper divisors (244280643).

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

233850045 is a wasteful number, since it uses less digits than its factorization.

233850045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 233850045 is about 15292.1563227689. The cubic root of 233850045 is about 616.0923543503.

The spelling of 233850045 in words is "two hundred thirty-three million, eight hundred fifty thousand, forty-five".

Divisors: 1 3 5 11 13 15 17 33 39 51 53 55 65 85 121 143 159 165 187 195 221 255 265 363 429 561 583 605 663 689 715 795 901 935 1105 1331 1573 1749 1815 2057 2067 2145 2431 2703 2805 2915 3315 3445 3993 4505 4719 6171 6413 6655 7293 7579 7865 8745 9911 10285 10335 11713 12155 13515 17303 19239 19965 22627 22737 23595 26741 29733 30855 32065 35139 36465 37895 49555 51909 58565 67881 70543 80223 83369 86515 96195 109021 113135 113685 128843 133705 148665 175695 211629 250107 259545 294151 327063 339405 352715 386529 401115 416845 545105 644215 882453 917059 1058145 1199231 1250535 1417273 1470755 1635315 1932645 2751177 3597693 4251819 4412265 4585295 5996155 7086365 13755885 15590003 17988465 21259095 46770009 77950015 233850045