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2154350000 = 2455113917
BaseRepresentation
bin1000000001101000…
…1100010110110000
312120010210022121202
42000122030112300
513403003200000
6553435110332
7104246446535
oct20032142660
95503708552
102154350000
11a06090050
125015a23a8
1328443a21a
14166196d8c
15c9200dd5
hex8068c5b0

2154350000 has 120 divisors (see below), whose sum is σ = 5692979376. Its totient is φ = 783200000.

The previous prime is 2154349963. The next prime is 2154350027. The reversal of 2154350000 is 534512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548042 + ... + 551958.

Almost surely, 22154350000 is an apocalyptic number.

2154350000 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 2154350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846489688).

2154350000 is an abundant number, since it is smaller than the sum of its proper divisors (3538629376).

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

2154350000 is an equidigital number, since it uses as much as digits as its factorization.

2154350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2154350000 is about 46414.9760314492. The cubic root of 2154350000 is about 1291.5327413464.

Adding to 2154350000 its reverse (534512), we get a palindrome (2154884512).

The spelling of 2154350000 in words is "two billion, one hundred fifty-four million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 3917 4400 5000 5500 6250 6875 7834 10000 11000 12500 13750 15668 19585 22000 25000 27500 31336 34375 39170 43087 50000 55000 62672 68750 78340 86174 97925 110000 137500 156680 172348 195850 215435 275000 313360 344696 391700 430870 489625 550000 689392 783400 861740 979250 1077175 1566800 1723480 1958500 2154350 2448125 3446960 3917000 4308700 4896250 5385875 7834000 8617400 9792500 10771750 12240625 17234800 19585000 21543500 24481250 26929375 39170000 43087000 48962500 53858750 86174000 97925000 107717500 134646875 195850000 215435000 269293750 430870000 538587500 1077175000 2154350000