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2321054000 = 245343137197
BaseRepresentation
bin1000101001011000…
…0111100100110000
312222202110202111222
42022112013210300
514223142212000
61022152124212
7111342430166
oct21226074460
95882422458
102321054000
11a911a1251
12549396668
132acb37245
1418038d236
15d8b7ea85
hex8a587930

2321054000 has 160 divisors (see below), whose sum is σ = 5814110016. Its totient is φ = 895641600.

The previous prime is 2321053991. The next prime is 2321054011. The reversal of 2321054000 is 4501232.

It is a self number, because there is not a number n which added to its sum of digits gives 2321054000.

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 31 ways as a sum of consecutive naturals, for example, 11781902 + ... + 11782098.

Almost surely, 22321054000 is an apocalyptic number.

2321054000 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 2321054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907055008).

2321054000 is an abundant number, since it is smaller than the sum of its proper divisors (3493056016).

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

2321054000 is a wasteful number, since it uses less digits than its factorization.

2321054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2321054000 is about 48177.3183147423. The cubic root of 2321054000 is about 1324.0216344740.

Adding to 2321054000 its reverse (4501232), we get a palindrome (2325555232).

The spelling of 2321054000 in words is "two billion, three hundred twenty-one million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 137 172 197 200 215 250 274 344 394 400 430 500 548 685 688 788 860 985 1000 1075 1096 1370 1576 1720 1970 2000 2150 2192 2740 3152 3425 3440 3940 4300 4925 5375 5480 5891 6850 7880 8471 8600 9850 10750 10960 11782 13700 15760 16942 17125 17200 19700 21500 23564 24625 26989 27400 29455 33884 34250 39400 42355 43000 47128 49250 53978 54800 58910 67768 68500 78800 84710 86000 94256 98500 107956 117820 134945 135536 137000 147275 169420 197000 211775 215912 235640 269890 274000 294550 338840 394000 423550 431824 471280 539780 589100 674725 677680 736375 847100 1058875 1079560 1160527 1178200 1349450 1472750 1694200 2117750 2159120 2321054 2356400 2698900 2945500 3373625 3388400 4235500 4642108 5397800 5802635 5891000 6747250 8471000 9284216 10795600 11605270 11782000 13494500 16942000 18568432 23210540 26989000 29013175 46421080 53978000 58026350 92842160 116052700 145065875 232105400 290131750 464210800 580263500 1160527000 2321054000