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235217840 = 245111329709
BaseRepresentation
bin11100000010100…
…10001110110000
3121101121022012212
432001102032300
5440203432330
635201311252
75554214204
oct1601221660
9541538185
10235217840
11110857710
1266935528
1339968270
142334cb04
15159b4295
hexe0523b0

235217840 has 160 divisors (see below), whose sum is σ = 665582400. Its totient is φ = 76124160.

The previous prime is 235217809. The next prime is 235217867. The reversal of 235217840 is 48712532.

It is a junction number, because it is equal to n+sod(n) for n = 235217797 and 235217806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331406 + ... + 332114.

It is an arithmetic number, because the mean of its divisors is an integer number (4159890).

Almost surely, 2235217840 is an apocalyptic number.

235217840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332791200).

235217840 is an abundant number, since it is smaller than the sum of its proper divisors (430364560).

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

235217840 is a wasteful number, since it uses less digits than its factorization.

235217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 235217840 is about 15336.8132283079. The cubic root of 235217840 is about 617.2912000917.

The spelling of 235217840 in words is "two hundred thirty-five million, two hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 40 44 52 55 58 65 80 88 104 110 116 130 143 145 176 208 220 232 260 286 290 319 377 440 464 520 572 580 638 709 715 754 880 1040 1144 1160 1276 1418 1430 1508 1595 1885 2288 2320 2552 2836 2860 3016 3190 3545 3770 4147 5104 5672 5720 6032 6380 7090 7540 7799 8294 9217 11344 11440 12760 14180 15080 15598 16588 18434 20561 20735 25520 28360 30160 31196 33176 36868 38995 41122 41470 46085 56720 62392 66352 73736 77990 82244 82940 92170 101387 102805 124784 147472 155980 164488 165880 184340 202774 205610 226171 267293 311960 328976 331760 368680 405548 411220 452342 506935 534586 623920 737360 811096 822440 904684 1013870 1069172 1130855 1336465 1622192 1644880 1809368 2027740 2138344 2261710 2672930 2940223 3618736 4055480 4276688 4523420 5345860 5880446 8110960 9046840 10691720 11760892 14701115 18093680 21383440 23521784 29402230 47043568 58804460 117608920 235217840