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20001222160 = 2451797715053
BaseRepresentation
bin10010101000001010…
…100110111000010000
31220121220211100201221
4102220022212320100
5311430303102120
613104411334424
71305435404023
oct225012467020
956556740657
1020001222160
118534194277
123a62451414
131b69a14cca
14d7a5231ba
157c0e0d0aa
hex4a82a6e10

20001222160 has 80 divisors (see below), whose sum is σ = 49291974576. Its totient is φ = 7521665024.

The previous prime is 20001222149. The next prime is 20001222161. The reversal of 20001222160 is 6122210002.

It can be written as a sum of positive squares in 8 ways, for example, as 6898299136 + 13102923024 = 83056^2 + 114468^2 .

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 (16).

It is not an unprimeable number, because it can be changed into a prime (20001222161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321194 + ... + 1336246.

Almost surely, 220001222160 is an apocalyptic number.

20001222160 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 20001222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645987288).

20001222160 is an abundant number, since it is smaller than the sum of its proper divisors (29290752416).

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

20001222160 is a wasteful number, since it uses less digits than its factorization.

20001222160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16054 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20001222160 its reverse (6122210002), we get a palindrome (26123432162).

The spelling of 20001222160 in words is "twenty billion, one million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 977 1360 1954 3908 4885 7816 9770 15053 15632 16609 19540 30106 33218 39080 60212 66436 75265 78160 83045 120424 132872 150530 166090 240848 255901 265744 301060 332180 511802 602120 664360 1023604 1204240 1279505 1328720 2047208 2559010 4094416 5118020 10236040 14706781 20472080 29413562 58827124 73533905 117654248 147067810 235308496 250015277 294135620 500030554 588271240 1000061108 1176542480 1250076385 2000122216 2500152770 4000244432 5000305540 10000611080 20001222160