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20223213000 = 2335367100613
BaseRepresentation
bin10010110101011001…
…011011110111001000
31221012101112122220220
4102311121123313020
5312404120304000
613142421350040
71314102321444
oct226531336710
957171478826
1020223213000
118638527281
123b04868320
131ba39cb933
14d9bbcb824
157d565d1a0
hex4b565bdc8

20223213000 has 128 divisors (see below), whose sum is σ = 64038798720. Its totient is φ = 5312313600.

The previous prime is 20223212993. The next prime is 20223213007. The reversal of 20223213000 is 31232202.

It is an interprime number because it is at equal distance from previous prime (20223212993) and next prime (20223213007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20223213007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 150694 + ... + 251306.

It is an arithmetic number, because the mean of its divisors is an integer number (500303115).

Almost surely, 220223213000 is an apocalyptic number.

20223213000 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 20223213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019399360).

20223213000 is an abundant number, since it is smaller than the sum of its proper divisors (43815585720).

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

20223213000 is a wasteful number, since it uses less digits than its factorization.

20223213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100704 (or 100690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20223213000 its reverse (31232202), we get a palindrome (20254445202).

The spelling of 20223213000 in words is "twenty billion, two hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 67000 100500 100613 201000 201226 301839 402452 503065 603678 804904 1006130 1207356 1509195 2012260 2414712 2515325 3018390 4024520 5030650 6036780 6741071 7545975 10061300 12073560 12576625 13482142 15091950 20122600 20223213 25153250 26964284 30183900 33705355 37729875 40446426 50306500 53928568 60367800 67410710 75459750 80892852 100613000 101116065 134821420 150919500 161785704 168526775 202232130 269642840 301839000 337053550 404464260 505580325 674107100 808928520 842633875 1011160650 1348214200 1685267750 2022321300 2527901625 3370535500 4044642600 5055803250 6741071000 10111606500 20223213000