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222213232120 = 235112767182519
BaseRepresentation
bin1100111011110011110…
…0001101010111111000
3210020120102101210110011
43032330330031113320
512120043041411440
6250030000431304
722024436210455
oct3167474152770
9706512353404
10222213232120
1186270638280
1237096918534
1317c543ac1c9
14aa802ca82c
155ba86729ea
hex33bcf0d5f8

222213232120 has 64 divisors (see below), whose sum is σ = 545632588800. Its totient is φ = 80775166080.

The previous prime is 222213232091. The next prime is 222213232177. The reversal of 222213232120 is 21232312222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222213232091 and 222213232100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126221 + ... + 1308739.

It is an arithmetic number, because the mean of its divisors is an integer number (8525509200).

Almost surely, 2222213232120 is an apocalyptic number.

222213232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222213232120 is an abundant number, since it is smaller than the sum of its proper divisors (323419356680).

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

222213232120 is a wasteful number, since it uses less digits than its factorization.

222213232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185308 (or 185304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222213232120 its reverse (21232312222), we get a palindrome (243445544342).

The spelling of 222213232120 in words is "two hundred twenty-two billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2767 5534 11068 13835 22136 27670 30437 55340 60874 110680 121748 152185 182519 243496 304370 365038 608740 730076 912595 1217480 1460152 1825190 2007709 3650380 4015418 7300760 8030836 10038545 16061672 20077090 40154180 80308360 505030073 1010060146 2020120292 2525150365 4040240584 5050300730 5555330803 10100601460 11110661606 20201202920 22221323212 27776654015 44442646424 55553308030 111106616060 222213232120