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222010012000 = 255377928929
BaseRepresentation
bin1100111011000011010…
…0111111000101100000
3210020001021000010212001
43032300310333011200
512114134030341000
6245553501013344
722016420652130
oct3166064770540
9706037003761
10222010012000
1186176955a67
123703a854254
1317c2126830a
14aa6130aac0
155b958ce46a
hex33b0d3f160

222010012000 has 96 divisors (see below), whose sum is σ = 623404192320. Its totient is φ = 76117708800.

The previous prime is 222010011961. The next prime is 222010012039. The reversal of 222010012000 is 210010222.

222010012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222010011961) and next prime (222010012039).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3936465 + ... + 3992464.

It is an arithmetic number, because the mean of its divisors is an integer number (6493793670).

Almost surely, 2222010012000 is an apocalyptic number.

222010012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222010012000 is an abundant number, since it is smaller than the sum of its proper divisors (401394180320).

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

222010012000 is an equidigital number, since it uses as much as digits as its factorization.

222010012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928961 (or 7928943 counting only the distinct ones).

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

Adding to 222010012000 its reverse (210010222), we get a palindrome (222220022222).

The spelling of 222010012000 in words is "two hundred twenty-two billion, ten million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 7928929 15857858 31715716 39644645 55502503 63431432 79289290 111005006 126862864 158578580 198223225 222010012 253725728 277512515 317157160 396446450 444020024 555025030 634314320 792892900 888040048 991116125 1110050060 1268628640 1387562575 1585785800 1776080096 1982232250 2220100120 2775125150 3171571600 3964464500 4440200240 5550250300 6343143200 6937812875 7928929000 8880400480 11100500600 13875625750 15857858000 22201001200 27751251500 31715716000 44402002400 55502503000 111005006000 222010012000