Search a number
-
+
223222311313320 = 233511169107811601
BaseRepresentation
bin110010110000010011111110…
…100100100101111110101000
31002021100211210200022200020110
4302300103332210211332220
5213224233243144011240
62110430525242054320
765006164652515314
oct6260237644457650
91067324720280213
10223222311313320
1165142061385180
1221051b904aa3a0
139772a098a3007
143d1a0360b6b44
151ac17d0712c80
hexcb04fe925fa8

223222311313320 has 64 divisors (see below), whose sum is σ = 730545746120640. Its totient is φ = 54114499712000.

The previous prime is 223222311313259. The next prime is 223222311313363. The reversal of 223222311313320 is 23313113222322.

It is a super-3 number, since 3×2232223113133203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84553904481 + ... + 84553907120.

It is an arithmetic number, because the mean of its divisors is an integer number (11414777283135).

Almost surely, 2223222311313320 is an apocalyptic number.

223222311313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223222311313320 is an abundant number, since it is smaller than the sum of its proper divisors (507323434807320).

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

223222311313320 is a wasteful number, since it uses less digits than its factorization.

223222311313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169107811626 (or 169107811622 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 223222311313320 its reverse (23313113222322), we get a palindrome (246535424535642).

The spelling of 223222311313320 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, three hundred eleven million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 169107811601 338215623202 507323434803 676431246404 845539058005 1014646869606 1352862492808 1691078116010 1860185927611 2029293739212 2536617174015 3382156232020 3720371855222 4058587478424 5073234348030 5580557782833 6764312464040 7440743710444 9300929638055 10146468696060 11161115565666 14881487420888 18601859276110 20292937392120 22322231131332 27902788914165 37203718552220 44644462262664 55805577828330 74407437104440 111611155656660 223222311313320