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220002000912 = 24331394578017
BaseRepresentation
bin1100110011100100100…
…1000010000000010000
3210000212022120121111000
43030321021002000100
512101031003012122
6245022330222000
721615566103321
oct3147111020020
9700768517430
10220002000912
1185336437571
123677a284900
1317991247785
14a910768448
155ac94880ac
hex3339242010

220002000912 has 160 divisors (see below), whose sum is σ = 637501558400. Its totient is φ = 72638042112.

The previous prime is 220002000859. The next prime is 220002000913. The reversal of 220002000912 is 219000200022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220002000913) 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, 27437928 + ... + 27445944.

It is an arithmetic number, because the mean of its divisors is an integer number (3984384740).

Almost surely, 2220002000912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318750779200).

220002000912 is an abundant number, since it is smaller than the sum of its proper divisors (417499557488).

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

220002000912 is a wasteful number, since it uses less digits than its factorization.

220002000912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220002000912 its reverse (219000200022), we get a palindrome (439002200934).

The spelling of 220002000912 in words is "two hundred twenty billion, two million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 457 556 834 914 1112 1251 1371 1668 1828 2224 2502 2742 3336 3656 3753 4113 5004 5484 6672 7312 7506 8017 8226 10008 10968 12339 15012 16034 16452 20016 21936 24051 24678 30024 32068 32904 48102 49356 60048 63523 64136 65808 72153 96204 98712 127046 128272 144306 190569 192408 197424 216459 254092 288612 381138 384816 432918 508184 571707 577224 762276 865836 1016368 1114363 1143414 1154448 1524552 1715121 1731672 2228726 2286828 3049104 3343089 3430242 3463344 3663769 4457452 4573656 6686178 6860484 7327538 8914904 9147312 10029267 10991307 13372356 13720968 14655076 17829808 20058534 21982614 26744712 27441936 29310152 30087801 32973921 40117068 43965228 53489424 58620304 60175602 65947842 80234136 87930456 98921763 120351204 131895684 160468272 175860912 197843526 240702408 263791368 395687052 481404816 509263891 527582736 791374104 1018527782 1527791673 1582748208 2037055564 3055583346 4074111128 4583375019 6111166692 8148222256 9166750038 12222333384 13750125057 18333500076 24444666768 27500250114 36667000152 55000500228 73334000304 110001000456 220002000912