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223222132000 = 255377972219
BaseRepresentation
bin1100111111100100010…
…0110110110100100000
3210100011201211012220101
43033321010312310200
512124124331211000
6250314040552144
722061436546520
oct3177104666440
9710151735811
10223222132000
118673908a72a
1237318782654
131808541429a
14ab382b3680
155c17010e6a
hex33f9136d20

223222132000 has 96 divisors (see below), whose sum is σ = 626807825280. Its totient is φ = 76533292800.

The previous prime is 223222131989. The next prime is 223222132009. The reversal of 223222132000 is 231222322.

223222132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232221320003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223222132009) by changing a digit.

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, 3958110 + ... + 4014109.

It is an arithmetic number, because the mean of its divisors is an integer number (6529248180).

Almost surely, 2223222132000 is an apocalyptic number.

223222132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223222132000 is an abundant number, since it is smaller than the sum of its proper divisors (403585693280).

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

223222132000 is an equidigital number, since it uses as much as digits as its factorization.

223222132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972251 (or 7972233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 223222132000 its reverse (231222322), we get a palindrome (223453354322).

The spelling of 223222132000 in words is "two hundred twenty-three billion, two hundred twenty-two million, one hundred thirty-two 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 7972219 15944438 31888876 39861095 55805533 63777752 79722190 111611066 127555504 159444380 199305475 223222132 255111008 279027665 318888760 398610950 446444264 558055330 637777520 797221900 892888528 996527375 1116110660 1275555040 1395138325 1594443800 1785777056 1993054750 2232221320 2790276650 3188887600 3986109500 4464442640 5580553300 6377775200 6975691625 7972219000 8928885280 11161106600 13951383250 15944438000 22322213200 27902766500 31888876000 44644426400 55805533000 111611066000 223222132000