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231451000 = 23531153397
BaseRepresentation
bin11011100101110…
…10100101111000
3121010111221002021
431302322211320
5433222413000
634544444224
75510205154
oct1562724570
9533457067
10231451000
11109714620
1265619674
1338c49871
1422a4c064
15154bd11a
hexdcba978

231451000 has 128 divisors (see below), whose sum is σ = 603495360. Its totient is φ = 82368000.

The previous prime is 231450977. The next prime is 231451013. The reversal of 231451000 is 154132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582802 + ... + 583198.

Almost surely, 2231451000 is an apocalyptic number.

231451000 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 231451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301747680).

231451000 is an abundant number, since it is smaller than the sum of its proper divisors (372044360).

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

231451000 is a wasteful number, since it uses less digits than its factorization.

231451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 231451000 is about 15213.5137295761. The cubic root of 231451000 is about 613.9782978533.

The spelling of 231451000 in words is "two hundred thirty-one million, four hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 397 424 440 500 530 550 583 794 1000 1060 1100 1166 1325 1375 1588 1985 2120 2200 2332 2650 2750 2915 3176 3970 4367 4664 5300 5500 5830 6625 7940 8734 9925 10600 11000 11660 13250 14575 15880 17468 19850 21041 21835 23320 26500 29150 34936 39700 42082 43670 49625 53000 58300 72875 79400 84164 87340 99250 105205 109175 116600 145750 168328 174680 198500 210410 218350 231451 291500 397000 420820 436700 462902 526025 545875 583000 841640 873400 925804 1052050 1091750 1157255 1851608 2104100 2183500 2314510 2630125 4208200 4367000 4629020 5260250 5786275 9258040 10520500 11572550 21041000 23145100 28931375 46290200 57862750 115725500 231451000