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231355720 = 23517397857
BaseRepresentation
bin11011100101000…
…11010101001000
3121010100002101101
431302203111020
5433211340340
634542431144
75506330321
oct1562432510
9533302341
10231355720
11109659a82
12655924b4
1338c1539b
1422a25448
151549ec9a
hexdca3548

231355720 has 64 divisors (see below), whose sum is σ = 553204080. Its totient is φ = 86777856.

The previous prime is 231355673. The next prime is 231355739. The reversal of 231355720 is 27553132.

It can be written as a sum of positive squares in 8 ways, for example, as 201696804 + 29658916 = 14202^2 + 5446^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269532 + ... + 270388.

Almost surely, 2231355720 is an apocalyptic number.

231355720 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 231355720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276602040).

231355720 is an abundant number, since it is smaller than the sum of its proper divisors (321848360).

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

231355720 is a wasteful number, since it uses less digits than its factorization.

231355720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 231355720 is about 15210.3819807393. The cubic root of 231355720 is about 613.8940354082.

The spelling of 231355720 in words is "two hundred thirty-one million, three hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 397 680 794 857 1588 1714 1985 3176 3428 3970 4285 6749 6856 7940 8570 13498 14569 15880 17140 26996 29138 33745 34280 53992 58276 67490 72845 116552 134980 145690 269960 291380 340229 582760 680458 1360916 1701145 2721832 3402290 5783893 6804580 11567786 13609160 23135572 28919465 46271144 57838930 115677860 231355720