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231457140 = 2232547109251
BaseRepresentation
bin11011100101111…
…00000101110100
3121010112020111200
431302330011310
5433223112030
634544532500
75510232105
oct1562740564
9533466450
10231457140
111097191a2
1265621130
1338c4c5b5
1422a503ac
15154bed60
hexdcbc174

231457140 has 144 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 59616000.

The previous prime is 231457139. The next prime is 231457151. The reversal of 231457140 is 41754132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922015 + ... + 922265.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2231457140 is an apocalyptic number.

231457140 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 231457140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

231457140 is an abundant number, since it is smaller than the sum of its proper divisors (495028620).

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

231457140 is a wasteful number, since it uses less digits than its factorization.

231457140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 231457140 is about 15213.7155225145. The cubic root of 231457140 is about 613.9837270707.

The spelling of 231457140 in words is "two hundred thirty-one million, four hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 109 141 180 188 218 235 251 282 327 423 436 470 502 545 564 654 705 753 846 940 981 1004 1090 1255 1308 1410 1506 1635 1692 1962 2115 2180 2259 2510 2820 3012 3270 3765 3924 4230 4518 4905 5020 5123 6540 7530 8460 9036 9810 10246 11295 11797 15060 15369 19620 20492 22590 23594 25615 27359 30738 35391 45180 46107 47188 51230 54718 58985 61476 70782 76845 82077 92214 102460 106173 109436 117970 136795 141564 153690 164154 176955 184428 212346 230535 235940 246231 273590 307380 328308 353910 410385 424692 461070 492462 530865 547180 707820 820770 922140 984924 1061730 1231155 1285873 1641540 2123460 2462310 2571746 3857619 4924620 5143492 6429365 7715238 11572857 12858730 15430476 19288095 23145714 25717460 38576190 46291428 57864285 77152380 115728570 231457140