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231240107952 = 243272221103289
BaseRepresentation
bin1101011101011011111…
…1000000011110110000
3211002212112001121011200
43113112333000132300
512242034431423302
6254121422011200
722464226325640
oct3272677003660
9732775047150
10231240107952
118a083015737
1238995a16b00
1318a625ac459
14b2990da520
156035dac81c
hex35d6fc07b0

231240107952 has 120 divisors (see below), whose sum is σ = 739941465120. Its totient is φ = 66038215680.

The previous prime is 231240107911. The next prime is 231240107957. The reversal of 231240107952 is 259701042132.

It is a super-2 number, since 2×2312401079522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (231240107957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187124 + ... + 2290412.

It is an arithmetic number, because the mean of its divisors is an integer number (6166178876).

Almost surely, 2231240107952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231240107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369970732560).

231240107952 is an abundant number, since it is smaller than the sum of its proper divisors (508701357168).

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

231240107952 is a wasteful number, since it uses less digits than its factorization.

231240107952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105531 (or 105522 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 231240107952 in words is "two hundred thirty-one billion, two hundred forty million, one hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2221 4442 6663 8884 13326 15547 17768 19989 26652 31094 35536 39978 46641 53304 62188 79956 93282 103289 106608 124376 139923 159912 186564 206578 248752 279846 309867 319824 373128 413156 559692 619734 723023 746256 826312 929601 1119384 1239468 1446046 1652624 1859202 2169069 2238768 2478936 2892092 3718404 4338138 4957872 5784184 6507207 7436808 8676276 11568368 13014414 14873616 17352552 26028828 34705104 52057656 104115312 229404869 458809738 688214607 917619476 1376429214 1605834083 1835238952 2064643821 2752858428 3211668166 3670477904 4129287642 4817502249 5505716856 6423336332 8258575284 9635004498 11011433712 12846672664 14452506747 16517150568 19270008996 25693345328 28905013494 33034301136 38540017992 57810026988 77080035984 115620053976 231240107952