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20247314000 = 245323440159
BaseRepresentation
bin10010110110110101…
…010111111001010000
31221021001220010021112
4102312311113321100
5312431303022000
613145042112452
71314514220654
oct226665277120
957231803245
1020247314000
118650098761
123b1094b728
131ba89b9894
14da10a2a64
157d781e235
hex4b6d57e50

20247314000 has 80 divisors (see below), whose sum is σ = 51086730240. Its totient is φ = 7746780800.

The previous prime is 20247313997. The next prime is 20247314063. The reversal of 20247314000 is 41374202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174080 + ... + 266079.

It is an arithmetic number, because the mean of its divisors is an integer number (638584128).

Almost surely, 220247314000 is an apocalyptic number.

20247314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20247314000 is an abundant number, since it is smaller than the sum of its proper divisors (30839416240).

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

20247314000 is a wasteful number, since it uses less digits than its factorization.

20247314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440205 (or 440189 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 20247314000 its reverse (41374202), we get a palindrome (20288688202).

The spelling of 20247314000 in words is "twenty billion, two hundred forty-seven million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 440159 880318 1760636 2200795 3521272 4401590 7042544 8803180 10123657 11003975 17606360 20247314 22007950 35212720 40494628 44015900 50618285 55019875 80989256 88031800 101236570 110039750 161978512 176063600 202473140 220079500 253091425 404946280 440159000 506182850 809892560 880318000 1012365700 1265457125 2024731400 2530914250 4049462800 5061828500 10123657000 20247314000