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222201221120 = 212510849669
BaseRepresentation
bin1100111011110000111…
…0011001000000000000
3210020112120210120110022
43032330032121000000
512120032003033440
6250024451153012
722024232134124
oct3167416310000
9706476716408
10222201221120
118626488422a
12370928a5768
1317c51a651c8
14aa7c881584
155ba759dcb5
hex33bc399000

222201221120 has 52 divisors (see below), whose sum is σ = 533217881820. Its totient is φ = 88880480256.

The previous prime is 222201221089. The next prime is 222201221153. The reversal of 222201221120 is 21122102222.

It is a happy number.

222201221120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151215210496 + 70986010624 = 388864^2 + 266432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5404355 + ... + 5445314.

It is an arithmetic number, because the mean of its divisors is an integer number (10254190035).

Almost surely, 2222201221120 is an apocalyptic number.

222201221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201221120 is an abundant number, since it is smaller than the sum of its proper divisors (311016660700).

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

222201221120 is an equidigital number, since it uses as much as digits as its factorization.

222201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849698 (or 10849676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222201221120 its reverse (21122102222), we get a palindrome (243323323342).

The spelling of 222201221120 in words is "two hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 10849669 21699338 43398676 54248345 86797352 108496690 173594704 216993380 347189408 433986760 694378816 867973520 1388757632 1735947040 2777515264 3471894080 5555030528 6943788160 11110061056 13887576320 22220122112 27775152640 44440244224 55550305280 111100610560 222201221120