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2190913000 = 235389103239
BaseRepresentation
bin1000001010010110…
…1010110111101000
312122200120220121221
42002211222313220
513441333204000
61001222511424
7105202311313
oct20245526750
95580526557
102190913000
11a24793401
12511895574
1328bb9c533
1416ad9397a
15cc52461a
hex8296ade8

2190913000 has 128 divisors (see below), whose sum is σ = 5256576000. Its totient is φ = 854515200.

The previous prime is 2190912979. The next prime is 2190913007. The reversal of 2190913000 is 3190912.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2190913007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9166881 + ... + 9167119.

It is an arithmetic number, because the mean of its divisors is an integer number (41067000).

Almost surely, 22190913000 is an apocalyptic number.

2190913000 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 2190913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628288000).

2190913000 is an abundant number, since it is smaller than the sum of its proper divisors (3065663000).

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

2190913000 is a wasteful number, since it uses less digits than its factorization.

2190913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 2190913000 is about 46807.1896186900. The cubic root of 2190913000 is about 1298.7982977892.

The spelling of 2190913000 in words is "two billion, one hundred ninety million, nine hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 103 125 178 200 206 239 250 356 412 445 478 500 515 712 824 890 956 1000 1030 1195 1780 1912 2060 2225 2390 2575 3560 4120 4450 4780 5150 5975 8900 9167 9560 10300 11125 11950 12875 17800 18334 20600 21271 22250 23900 24617 25750 29875 36668 42542 44500 45835 47800 49234 51500 59750 73336 85084 89000 91670 98468 103000 106355 119500 123085 170168 183340 196936 212710 229175 239000 246170 366680 425420 458350 492340 531775 615425 850840 916700 984680 1063550 1145875 1230850 1833400 2127100 2190913 2291750 2461700 2658875 3077125 4254200 4381826 4583500 4923400 5317750 6154250 8763652 9167000 10635500 10954565 12308500 17527304 21271000 21909130 24617000 43818260 54772825 87636520 109545650 219091300 273864125 438182600 547728250 1095456500 2190913000