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20110222000 = 2453111078543
BaseRepresentation
bin10010101110101010…
…011010001010110000
31220220111221010102001
4102232222122022300
5312141204101000
613123303503344
71311231031561
oct225652321260
956814833361
1020110222000
11858a772490
123a92a57b54
131b8648a05b
14d8abb8168
157ca78e46a
hex4aea9a2b0

20110222000 has 160 divisors (see below), whose sum is σ = 53549144064. Its totient is φ = 7243616000.

The previous prime is 20110221977. The next prime is 20110222007. The reversal of 20110222000 is 22201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20110222007) 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, 2349729 + ... + 2358271.

Almost surely, 220110222000 is an apocalyptic number.

20110222000 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 20110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26774572032).

20110222000 is an abundant number, since it is smaller than the sum of its proper divisors (33438922064).

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

20110222000 is a wasteful number, since it uses less digits than its factorization.

20110222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20110222000 its reverse (22201102), we get a palindrome (20132423102).

It can be divided in two parts, 201 and 10222000, that added together give a palindrome (10222201).

The spelling of 20110222000 in words is "twenty billion, one hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 107 110 125 176 200 214 220 250 275 400 428 440 500 535 550 856 880 1000 1070 1100 1177 1375 1712 2000 2140 2200 2354 2675 2750 4280 4400 4708 5350 5500 5885 8543 8560 9416 10700 11000 11770 13375 17086 18832 21400 22000 23540 26750 29425 34172 42715 42800 47080 53500 58850 68344 85430 93973 94160 107000 117700 136688 147125 170860 187946 213575 214000 235400 294250 341720 375892 427150 469865 470800 588500 683440 751784 854300 914101 939730 1067875 1177000 1503568 1708600 1828202 1879460 2135750 2349325 2354000 3417200 3656404 3758920 4271500 4570505 4698650 7312808 7517840 8543000 9141010 9397300 10055111 11746625 14625616 17086000 18282020 18794600 20110222 22852525 23493250 36564040 37589200 40220444 45705050 46986500 50275555 73128080 80440888 91410100 93973000 100551110 114262625 160881776 182820200 187946000 201102220 228525250 251377775 365640400 402204440 457050500 502755550 804408880 914101000 1005511100 1256888875 1828202000 2011022200 2513777750 4022044400 5027555500 10055111000 20110222000