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235231040 = 26511173931
BaseRepresentation
bin11100000010101…
…01011101000000
3121101121222022202
432001111131000
5440204343130
635201452332
75554300532
oct1601253500
9541558282
10235231040
11110866620
12669410a8
1339971285
1423353852
15159b8145
hexe055740

235231040 has 112 divisors (see below), whose sum is σ = 647175744. Its totient is φ = 80486400.

The previous prime is 235231019. The next prime is 235231043. The reversal of 235231040 is 40132532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235231043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57875 + ... + 61805.

Almost surely, 2235231040 is an apocalyptic number.

235231040 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 235231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323587872).

235231040 is an abundant number, since it is smaller than the sum of its proper divisors (411944704).

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

235231040 is a wasteful number, since it uses less digits than its factorization.

235231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 235231040 is about 15337.2435593884. The cubic root of 235231040 is about 617.3027469645.

Adding to 235231040 its reverse (40132532), we get a palindrome (275363572).

The spelling of 235231040 in words is "two hundred thirty-five million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3520 3740 3931 5440 5984 7480 7862 11968 14960 15724 19655 29920 31448 39310 43241 59840 62896 66827 78620 86482 125792 133654 157240 172964 216205 251584 267308 314480 334135 345928 432410 534616 628960 668270 691856 735097 864820 1069232 1257920 1336540 1383712 1470194 1729640 2138464 2673080 2767424 2940388 3459280 3675485 4276928 5346160 5880776 6918560 7350970 10692320 11761552 13837120 14701940 21384640 23523104 29403880 47046208 58807760 117615520 235231040