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2223300212320 = 2551121117102811
BaseRepresentation
bin100000010110100111000…
…001001111011001100000
321212112201121120221221011
4200112213001033121200
5242411304323243240
64421211531310304
7316425310664155
oct40264701173140
97775647527834
102223300212320
11787995010400
122baa828ab394
1313186bbb6015
147987328a22c
153cc76cb36ea
hex205a704f660

2223300212320 has 144 divisors (see below), whose sum is σ = 5778685405584. Its totient is φ = 807741158400.

The previous prime is 2223300212303. The next prime is 2223300212363. The reversal of 2223300212320 is 232120033222.

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 = 2223300212291 and 2223300212300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21573715 + ... + 21676525.

It is an arithmetic number, because the mean of its divisors is an integer number (40129759761).

Almost surely, 22223300212320 is an apocalyptic number.

2223300212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223300212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889342702792).

2223300212320 is an abundant number, since it is smaller than the sum of its proper divisors (3555385193264).

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

2223300212320 is a wasteful number, since it uses less digits than its factorization.

2223300212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103965 (or 103946 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2223300212320 its reverse (232120033222), we get a palindrome (2455420245542).

The spelling of 2223300212320 in words is "two trillion, two hundred twenty-three billion, three hundred million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1117 1210 1760 1936 2234 2420 3872 4468 4840 5585 8936 9680 11170 12287 17872 19360 22340 24574 35744 44680 49148 61435 89360 98296 102811 122870 135157 178720 196592 205622 245740 270314 393184 411244 491480 514055 540628 675785 822488 982960 1028110 1081256 1130921 1351570 1644976 1965920 2056220 2162512 2261842 2703140 3289952 4112440 4325024 4523684 5406280 5654605 8224880 9047368 10812560 11309210 12440131 16449760 18094736 21625120 22618420 24880262 36189472 45236840 49760524 62200655 90473680 99521048 114839887 124401310 180947360 199042096 229679774 248802620 398084192 459359548 497605240 574199435 918719096 995210480 1148398870 1263238757 1837438192 1990420960 2296797740 2526477514 3674876384 4593595480 5052955028 6316193785 9187190960 10105910056 12632387570 13895626327 18374381920 20211820112 25264775140 27791252654 40423640224 50529550280 55582505308 69478131635 101059100560 111165010616 138956263270 202118201120 222330021232 277912526540 444660042464 555825053080 1111650106160 2223300212320