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235016838 = 23272416797
BaseRepresentation
bin11100000001000…
…01001010000110
3121101020002111100
432000201022012
5440131014323
635153120530
75552416200
oct1600411206
9541202440
10235016838
1111072a6a1
1266859146
13398c7924
14232d9770
1515974943
hexe021286

235016838 has 144 divisors (see below), whose sum is σ = 622191024. Its totient is φ = 63866880.

The previous prime is 235016827. The next prime is 235016839. The reversal of 235016838 is 838610532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235016839) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2422806 + ... + 2422902.

It is an arithmetic number, because the mean of its divisors is an integer number (4320771).

Almost surely, 2235016838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235016838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311095512).

235016838 is an abundant number, since it is smaller than the sum of its proper divisors (387174186).

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

235016838 is a wasteful number, since it uses less digits than its factorization.

235016838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 235016838 is about 15330.2589019233. The cubic root of 235016838 is about 617.1153175633.

The spelling of 235016838 in words is "two hundred thirty-five million, sixteen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 67 82 97 98 123 126 134 147 194 201 246 287 291 294 369 402 441 469 574 582 603 679 738 861 873 882 938 1206 1358 1407 1722 1746 2009 2037 2583 2747 2814 3283 3977 4018 4074 4221 4753 5166 5494 6027 6111 6499 6566 7954 8241 8442 9506 9849 11931 12054 12222 12998 14259 16482 18081 19229 19497 19698 23862 24723 27839 28518 29547 35793 36162 38458 38994 42777 45493 49446 55678 57687 58491 59094 71586 83517 85554 90986 115374 116982 134603 136479 167034 173061 194873 250551 266459 269206 272958 318451 346122 389746 403809 409437 501102 532918 584619 636902 799377 807618 818874 955353 1169238 1211427 1598754 1753857 1865213 1910706 2398131 2422854 2866059 3507714 3730426 4796262 5595639 5732118 11191278 13056491 16786917 26112982 33573834 39169473 78338946 117508419 235016838