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20323022000 = 2453591571097
BaseRepresentation
bin10010111011010110…
…001011010010110000
31221110100100111010112
4102323112023102300
5313110143201000
613200344520452
71316423560001
oct227326132260
957410314115
1020323022000
1186898a8256
123b32180128
131bbb5a6508
14dab16d1a8
157de2c6235
hex4bb58b4b0

20323022000 has 160 divisors (see below), whose sum is σ = 50338117440. Its totient is φ = 7933286400.

The previous prime is 20323021991. The next prime is 20323022039. The reversal of 20323022000 is 22032302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18525452 + ... + 18526548.

It is an arithmetic number, because the mean of its divisors is an integer number (314613234).

Almost surely, 220323022000 is an apocalyptic number.

20323022000 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 20323022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169058720).

20323022000 is an abundant number, since it is smaller than the sum of its proper divisors (30015095440).

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

20323022000 is a wasteful number, since it uses less digits than its factorization.

20323022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20323022000 its reverse (22032302), we get a palindrome (20345054302).

It can be divided in two parts, 2032302 and 2000, that added together give a palindrome (2034302).

The spelling of 20323022000 in words is "twenty billion, three hundred twenty-three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 157 200 236 250 295 314 400 472 500 590 628 785 944 1000 1097 1180 1256 1475 1570 2000 2194 2360 2512 2950 3140 3925 4388 4720 5485 5900 6280 7375 7850 8776 9263 10970 11800 12560 14750 15700 17552 18526 19625 21940 23600 27425 29500 31400 37052 39250 43880 46315 54850 59000 62800 64723 74104 78500 87760 92630 109700 118000 129446 137125 148208 157000 172229 185260 219400 231575 258892 274250 314000 323615 344458 370520 438800 463150 517784 548500 647230 688916 741040 861145 926300 1035568 1097000 1157875 1294460 1377832 1618075 1722290 1852600 2194000 2315750 2588920 2755664 3236150 3444580 3705200 4305725 4631500 5177840 6472300 6889160 8090375 8611450 9263000 10161511 12944600 13778320 16180750 17222900 18526000 20323022 21528625 25889200 32361500 34445800 40646044 43057250 50807555 64723000 68891600 81292088 86114500 101615110 129446000 162584176 172229000 203230220 254037775 344458000 406460440 508075550 812920880 1016151100 1270188875 2032302200 2540377750 4064604400 5080755500 10161511000 20323022000